Find the numerical value of the log expression. \log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3 loga=7logb=10logc=3 \log \frac{a^8c^2}{b^3} log b 3 a 8 c 2 ​

Answers

Answer 1

Answer:

  32

Step-by-step explanation:

  [tex]\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}[/tex]

__

The applicable rules of logarithms are ...

  log(ab/c) = log(a) +log(b) -log(c)

  log(a^b) = b·log(a)


Related Questions

Find the volume of the sphere .

Answers

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \times r ^{3} [/tex]

[tex] \frac{4}{3} \times \pi \times 7^{3} [/tex]

=1436.75504cm³

to 1dp

=1436.8cm³

el tema es desigualdades con valor absoluto

Answers

Answer:

i need english

Step-by-step explanation:

Lani opened a savings account with
$450. She saves $225 per month. Which
equation shows how many months, m,
Lani would have to save to have a total of
$1575 in her account?
A 1575=-450/225
B 1575 = 450m +225m
C 1575 = 450 +225m
D 1575 = 225 +450m

Answers

Answer:

The answer would be C

Step-by-step explanation:

Help I need to do that I don’t even know what it is I’ll
Give brianliest

Answers

Answer:

Step-by-step explanation:

1. f(x) = 5x² + 3x - 1

a. f(0) = 5·0² + 3·0 - 1 = -1

b. f(-1) = 5(-1)² + 3(-1) - 1 = 1

Do the same for f(2), f(√2), f(a+2), and f(a).

Then do the same thing for the next function.

2. f(x) = x/(1-x)

a. f(0) = 0/(1-0) = 0

Do the same for f(-1), f(2), f(√2), f(a+2), and f(a).

Which point is located at (2, 3)?
A
B
C
D

Answers

Answer:

a

Step-by-step explanation:

The answer is point c

If you watched any or both of these movies, make a 5 sentence summary about it

(ill give brainly and 25 points) :)

Answers

Answer:

Disney The Jungle Book (the first one): Mowgli (played by Neel Sethi) is a young boy that was raised by a family of wolves. One day he has to leave his home when the fearsome tiger, named Shere Khan (voiced by Idris Elba) unleashes a powerful roar. With aid from a panther (voiced by Ben Kingsley) and a care-free bear (voiced by Bill Murray), Mowgli meets a ton of new jungle animals. A few of which include a slithery python and a friendly ape. Along his way, Mowgli learns valuable lessons about life in this movie full of fun and adventure.

The Jungle Book (the second one): This is a classic Walt Disney animation that is based on Rudyard Kipling's book. Mowgli is a young, abandoned child who was raised by wolves. One day his peaceful life is threatened by the evil tiger, named Shere Khan (voiced by George Sanders). Mowgli must leave his wolf family behind in order to return to the "man village." Throughout his quest he is not alone, aided by a panther named Bagheera, and later on, a carefree bear named Balloo, he traverses the jungle's many perils.

Step-by-step explanation:

Hope this helps :)

f(x)=4x-3, g(x)=10-x
Work out gf(x)?

Answers

Step-by-step explanation:

Given

f(x) = 4x - 3

g(x) = 10 - x

So Now

gf(x) = g( 4x - 3)

= 10 - 4x + 3

= 13 - 4x

Hope it will help :)❤

what is -2/3 times -12. This questions is related to converting slope point form into slope intercept form.

Answers

Answer:

-2/3 times  -12=8

Step-by-step explanation:

Dilate D(7,4) by a scale factor of k = 3

Answers

Answer: (21,12)

Step-by-step explanation:

2) Select one of your sides.
Side: Nachos Price: 3.00
Your cost to make this side just became
cheaper. As a result, you are going to
decrease the price by $0.25. What is
the percent of change ?
Answer:

Answers

Answer: 3.00$-.25¢= 8.5% discount

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

7 seconds

Step-by-step explanation:

Hello There!

I had created a graph to make it easier to understand

So when y = 0 is when the ball is at the ground

when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground

Answer:

7

Step-by-step explanation:

(x - 12y = -4
( x - 9y = 7

Answers

9514 1404 393

Answer:

  (x, y) = (40, 11/3)

Step-by-step explanation:

The variable x can be eliminated by subtracting the first equation from the second.

  (x -9y) -(x -12y) = (7) -(-4)

  3y = 11 . . . . . . .simpify

  y = 11/3 . . . . . .divide by 3

  x -9(11/3) = 7 . . . . substitute for y in the second equation

  x = 40 . . . . . . . add 33

The solution is (x, y) = (40, 11/3).

pls help. i need help doing this problem and have been going at it for the longest. this is algebra II.

Answers

N in the equation is the number of times it compounds in a year. Since it is compounded yearly n = 1.

A = 1000( 1+ 0.08/1)^(7x1)

A = 1000(1.08)^7

A = $1,713.82

They will have $1.713.82 after 7 years

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569

Answers

Answer:

bad expression

Step-by-step explanation:

13251+3032−8569=7714

Which graph represents the solution for the equation 3x + 2 = 5x?
**+

Answers

I believe the answer is A because 3x is basically 3 on the x axis plus 2 and that graph have the lines meet at 5x

Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2

Please I really need your help for this ​

Answers

ax² + bx + c = 0

Let's write -9 where we see A:

-9x² + bx + c = 0

Let's write 0 where we see B:

-9x² + 0.x + c = 0

(Since B = 0, when it is multiplied by x, it becomes 0 again)

-9x² + c = 0

Let's write -2 where we see C:

-9x² + -2 = 0

Now we can move on to solving our equation:)

Let's put the known and the unknown on different sides:

(-2 goes to the opposite side positively)

-9x² = 2

(it goes as a division because it is in the case of multiplying -9 across)

x² = 2/-9

I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.

Please do not report:(

I hope I got it right, I'm trying to improve my English a little :)

Greetings from Turkey:)

#XBadeX

The quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2

We have to write a quadratic equation as,

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

ax² + bx + c = 0

-9x² + 0x + (-2) = 0

-9x² + -2 = 0

-9x² + -2 = 0

Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ6

PLEASE HELP! DUE TONIGHT

Solve x + 3 = - 10
A.x = -13
B. x = 13
C. x= 7
D. x = - 7

Answers

Answer:

The answer is A. x= -13

Step-by-step explanation:

The way that you solve it is change the positive 3 to negative and adding the negative 3 to negative 10.

A) x -13 because -10 - 3 is -13

Which shows the correct solution of the equation a
1/2a + 2/3b=50, when b=30?

Answers

The correct solution of the equation 1/2 a + 2/3b = 50 when b=30 is a = 60.

Answer:

c.) a = 60

explanation:

This is the only work that is correctly shown, if you are doing edg, hope it helps!

I WILL GIVE BRAINLIST NEED HELP ASAP

Jeff stacked 4 identical
solid blocks, each with the dimensions shown below.

What is the volume of the stack of blocks Jeff made?
A
72 cubic inches
B
120 cubic inches
C
288 cubic inches

Answers

Answer:

288 Inches^3

Step-by-step explanation:

1 Box:-

V=L*W*H, V=6*4*3, V=72 inches^3

4 Box:-

1 Box=72, 72*4=288 inches^3

*I am not 100% sure if this is accurate or not.*

Answer:

The answer is C witch is 288 cubic inches

Step-by-step explanation:

if you muliply all the sides times 4 you would get 288

3x6x4x4=288

What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Captionless Image

Answers

Answer:

you didnt put the image but it might be 97879

Find the slope of the line that passes through each of the following pairs of points:
(-1,4) and (3,-8)

Answers

Answer:

-12/4

Step-by-step explanation:

Use the slope formula

y2-y1. -8-4

---------- ______ = -12/4

x2-x1. 3-(-1)

there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much cinnamon bread she will get​

Answers

Answer:

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Step-by-step explanation:

Step 1:  Convert words to expressions

Seven people in Luisa's Family = 7 people

Four loaves of cinnamon bread = 4 loaves

Step 2:  Divide people from loaves

4 loaves / 7 people  <-  This means they are splitting 4 loaves of bread between 7 people

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Answer:  [tex]\frac{4}{7}[/tex] of a loave of bread per person

8. By using coupons, Mary Jo is able to decrease the retail price of her groceries, g, by $125. you find the nroduct of the base and height and then divide by 2. Expression. ​

Answers

Answer:

is there more to it? if not i dont understand what they are asking.

Step-by-step explanation:

y= 2 over 3 x + 20 when x= 21

Answers

Answer:

y=1262 /63 or y=20 and 2/63

Step-by-step explanation:

plug 21 into the equation to get y=2/3(21)+20

check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression

Answers

Answer:

It is a perfect square expression.

It factors to (x+2)^2

===========================================================

Explanation:

The general format for a perfect square is

(a+b)^2 = a^2 + 2ab + b^2

Which can be seen through the use of the FOIL rule.

Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:

x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last terms

Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.

Because a = x and b = 2, we then can say:

(a+b)^2 = a^2 + 2ab + b^2

(x+2)^2 = x^2 + 2*x*2 + 2^2

(x+2)^2 = x^2 + 4x + 4

Showing that x^2+4x+4 factors to (x+2)^2.

How many 1-foot-square border tiles would you need to surround a pool
that is 10 feet long and 5 feet wide? *

Answers

34

It is 34 because it is
10+10+5+5=30
when it comes to simply the edge lengths but to completely surround the pool you would need the 4 extra tiles on the corners which makes it
10+10+5+5+4=34

factor the trinomial
2x^2+10x+8

Answers

Answer:

x^2 + 5x + 4

Step-by-step explanation:

divide everything by 2

Answer:

2(x+4)(x+1)

Step-by-step explanation:

2x^2+10x+8

1. Take out the greatest common factor. Divide by 2

2(x^2+5x+4)

3. Replace 5x with 1x+4x

2(x^2+1x+4x+4)

4. Spilt the equation in half and factor.

2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)

5. Combine the new terms

2(x+4)(x+1)

Find the volume of each figure. PLZZZ I NEED HELP ASAP!!!!!! :/

Answers

8) v=1/3 x 6^2 x 11
= 132cm^3

10) 80ft^3

11) 72km^3

Hope this helps!!

Six equal blocks have a total mass of b kg. What is the mass of each block?.​

Answers

One block / total mass of the six blocks

1 / b kg

PLEASE HELP DO SOON!!!
What is the length of CD?
What is the length of AB? Round answer to the nearest hundredth.

Answers

Answer:

CD=14AB=9.17

Step-by-step explanation:

to understand thisyou need to know about:circlelet's solve:

according to the question

DF×DG=CD×DEsubstitute the value of DF,DG, and DE:3×4=CD×2simplify multiplication:12=2CDsimplify substraction:2CD/2=12/2therefore CD=6

SECOND QUESTION:

first find the measure of BE

6+2+612+214

according to the question

AB²=BE×BC

square both sides

[tex]\sqrt{AB^{2}}=\sqrt{BE\times BC}[/tex][tex]AB=\sqrt{BE\times BC}[/tex]

substitute the values of BE and BC

[tex]AB = \sqrt{14 \times 6} [/tex]

simplify multiplication:

[tex] \sqrt{84} [/tex]

simplify redical:

9.17
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