Exponentials and Logarithms

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

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

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

Rewrite each equation in logarithmic form.

• A

• B

• C

• D

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Solve for x.
5^x = 1

• 0

• -1

• 2

• 1

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by