6.12 Unit Test: Exponential and Logarithmic Functions

What is the y-intercept of the exponential function? f(x)=−1/8(4)^x+3) +6

-2

What is the exponential form of the logarithmic equation? 5=log0.9 0.59049

0.59045 = 0.9^5

What is the value of the logarithm? ln(121) Round the answer to the nearest ten thousandth.

4.7958

The function f(x)=logx is transformed into the equation f(x)=log(1/4x). The function ​f(x)=log(1/4x)is a________ of the parent function by a factor of ________.

Horixontal stretch and 4

Which statements represent the relationship between y=3^x and y=log3x?

The functions are inverses of each other. The graphs of functions are symmetric to each other over the line y = x.

What are the x and y intercepts of the equation? y=log(12x+7)−3 Round the answers to the nearest hundredth.

x-intercept 82.75 y-intercept -2.15

Solve for x. 2^4x=8^3x−10

x=6

What is the exact value of x? 5⋅8^4x=376

x=log75.2/4log8

Solve the logarithmic equation. y=log5 125

y=3

Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population of the fish doubles every year. Use x to represent the number of years and y to represent the population of the fish.

y=500(2)^x