Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm, for example, log₆₄8 = log 8 / log 64.
Logarithm is the inverse function of an exponential. The logarithm of x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm. It can be written as follow:
[tex]Log_{b} a = \frac{Log_{d} a}{Log_{d} b}[/tex]
For example:
We want to find the value of log₆₄8 using the change of base formula.
log₆₄8 = log 8 / log 64
= log 8 / log 8²
= log 8 / 2 log 8
= 1/2
Thus the log₆₄8 is 1/2
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Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?
F(x) = 2x + 4
Answer:
sorry need points
Step-by-step explanation:
can someone please help me find the value of y
Answer:
4y=48
y=48/4
y=12
therefore,the value of y is 12
An algebraic expression is given. Use the expression to answer the following questions,
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
X+ 3+ 7x
The
Answer:
A. 2
B.1
C.3
D. (should be x and 7x but that isnt an answer choice so) no
Step-by-step explanation:
For given expression x + 3 + 7x,
a) the number of terms in an algebraic expression = 2
b) the numerical coefficient of the first term = 1
c) the constant term = 3
d) the like terms are x and 7x
What is an algebraic expression?"It is a mathematical expression that consists of variables, numbers and operations."
What is constant?"It is a value or number that never changes in expression."
What are like terms?"The like terms are defined as the terms that contain the same variable which is raised to the same power."
For given example,
We have been given an expression x + 3 + 7x
a) x + 3 + 7x = 3 + (1 + 7)x
= 3 + 8x
So, the number of terms in the algebraic expression = 2
b) for given expression x + 3 + 7x,
the first term is x
x = (1) × (x)
the numerical coefficient of the first term is 1.
c) for given expression x + 3 + 7x,
the constant term = 3
d) for given expression x + 3 + 7x,
the like terms are x and 7x
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8. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function in the table.
A. f(x) = 1/2x +1
B. f(x) = –2x – 1
C. f(x) = x + 5
D. f(x) = 2x + 1
Answer:
I DON'T KNOW THE ANSWER
Step-by-step explanation:
SORRY
3/8 (2x - 8 / 3x) = 21 solve for x
A -66
B -70
C -84
D -96
Answer:
d
Step-by-step explanation:
How many kids are there in the US
Answer:
74.2 million children under the age of 18
Step-by-step explanation:
Answer:
74•2 million kids are in the usa
pa help po need lang ipasa ngayon
1.
[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]
2.
[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]
3.
[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]
4.
[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]
5.
[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]
6.
[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]
7.
[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]
8.
[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]
9.
[tex] \frac{14}{6} \times \frac{18}{5} = \frac{252}{30} = 8 \frac{2}{5} [/tex]
10.
[tex] \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac{1}{3} [/tex]
Factorise fully
px + py
Answer:
p(x+y)
Step-by-step explanation:
p(x+y)
hope that helps^^
12. (8x+15) + 45 + (18x+15) + 45
6. Simplify the expression.
3n+5-12n-8+6p
Answer
-9n-3+6p
Step-by-step explanation:
Answer:
-9n - 3 + 6p
Step-by-step explanation:
You have to remember that you can add or subtract only LIKE terms. In other words, you can't add 3n + 5, so separate them.
In this equation: 3n + 5 - 12n - 8 + 6p,
1. 3n - 12n
2. 5 - 8
3. 6p
= -9n - 3 + 6p
Combine like terms
7k + 4(k + 4)
A.8k + 16
B.11k + 16
C.7k + 1k + 16
D.27k
Answer:
B. 11k + 16
Step-by-step explanation:
We have an expression and are asked to combine like terms.
To solve this, we need to first distribute 4(k + 4). Which is to multiply four by both k and 4.
(4(k) + 4(4))
4k + 16
7k + 4k + 16.
Since 7k and 4k are like terms since they end in the same variable, we can only add them.
7 + 4
11
11k + 16
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(-4-(-2))
m=-4/(-4+2)=-4/-2=2
A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12
Answer:
1/6 times the number cube wil land on 2
Step-by-step explanation:
is y=x+3 a proportional relationship?
Answer: yes
Step-by-step explanation: im correcting my answer
Answer:
Yes
Step-by-step explanation:
The Ratio's Are Equivalent.
select all sets of side lengths that could form a triangle
Solve for x. −9x+2>18 AND 13x+15≤−4
Answer:
-16/9
Step-by-step explanation:
School
PLEASE HELP WITH THIS QUESTION: One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shells tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.
Is it true dat 2+2=5
Answer:
nah you tripping the answer is *22*.
Step-by-step explanation:
That's how I end up on harvard.
Help with this please!
Answer:
47
Step-by-step explanation:
mean is found by dividing the sum of the terms by the number of terms:
(43+48+41+41+x)/5=44
173+x=220
x=220-172=47
Find the area of a square with sides of length 1/3 (fraction) yard.
Answer:
A. 1/3 sq yard*sneezes cutely
Step-by-step explanation:
change your name
DO IT. DO IT NOW. Why arent you listenin-
in real life when do you think it would br helpful to know to calculate slope
Answer:
When ur going down it
Step-by-step explanation:
The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in the slope-intercept form
Step-by-step explanation:
slope-intercept form : y = mx + b
m = slope
b = y intercept
y = -5x +8
Please find what the value of x and y is!!!
Answer:
x = 3; y = 2
Step-by-step explanation:
You would just set each side equal to its opposite so for x, it'll be like:
4x+6=7x-3
and for y:
4y-3=3y+1
I attached my work below as well to help you.
Pleasssseeeee help its almost due
Can someone please help me with this question?
Answer:
110 degrees
Step-by-step explanation:
Ok so no matter what the shape is, the exterior angles always have to add up to 360 degrees. Then, you can make the equation:
140 + 110 + x = 360
250 + x = 360
x = 110 degrees
Here's another way you can do it:
To do this, you can start by noticing that the top angle would be 40 degrees, because there's a straight line with 140 degrees and that angle, so you can do 180 - 140 = 40 degrees.
Then, the angle towards the bottom right would be 70 degrees using the same strategy:
180 - 110 = 70 degrees
The interior angles of a triangle always have to add up to 180 degrees, so you can do 180 - 40 - 70 = 70 to find the third interior angle of the triangle.
The last step is to do 180 - 70 = 110 to find the measure of the exterior angle at that point.
find the missing measure
1 Calcula de la medio aritmética, la mediana
y la moda. Se analizó el IVA que se oplico
en diversos países europeos, a la compra de
obras de arte. Los resultados obtenidos
fueron los siguientes:
PAIS
España 0,16
Holia 0,20
Belgica 0,06
Holanda 0.06
Alemania 0,07
Portugal 0,17
Luxemburgo 0,06
Finlandia 0,22.
Answer:
Step-by-step explanation:
orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .
NOTE: Angles not necessarily drawn to scale.
X = ____ degrees
Answer:
x =60°
Step-by-step explanation:
GOOD QUESTION BRO
pls solve~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
q3
Step-by-step explanation:
P°×q3
=1×q3
=q3
11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?