Exponential and Logarithm Conversion

Find the inverse of the function f(x)=4^(x+1)-1

• f^-1(x)=log₄(x+1)-1

• f^-1(x)=log₄(x-1)+1

• f^-1(x)=log₄(y+1)-1

• f^-1(x)=log₄(x)

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3

• 3^(x+2)=8

• 8³=x+2

• 3⁸=x+2

Find the inverse of f(x)=log₃(x+2)

• f^-1(x)=1^x

• f^-1(x)=3^x-2

• f^-1(x)=3^(x-2)

• f^-1(x)=3^(x+2)

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5

• log(x+5)=100

• log(100)=x+5

• log_(x+5)(100)=10

Find the inverse of f(x)=2log₃(x)

• f^-1(x)=3^(x/2)

• f^-1(x)=(3^x)/2

• f^-1(x)=3^x

• f^-1(x)=3^(x-2)

What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

Convert 2^x+6=10 to logarithmic form

• log₄(x)=2

• log₂(4)=x

• log₂(10)=6

• log₂(x)=4

log_x(64)=3

• x=8

• x=4

• x=3

• x=64

Find the inverse of the function f(x)=log₃(x)+5

• f^-1(x)=3^x-5

• f^-1(x)=3^(x+5)

• f^-1(x)=3^(x-5)

• f^-1(x)=3^x+5

Joselyn, Jada, and Zaid are working on a science project about the universe. Joselyn asks, 'If we were to model the expansion of the universe over time, what would be the inverse of a logarithmic expression that we could use to estimate the size of the universe at a given time in the past?'

• An exponential expression

• A trigonometric expression

• A linear expression

• A quadratic expression

Answer explanation

The inverse of a logarithmic expression is an exponential expression.