Applications of Logarithms and Exponential

What is the range of log(x)?

• (-2, 4)

• (-∞, ∞)

• (-∞, 0)

• (∞, -∞)

Find the inverse of f(x)=log₄(x+4)

• f^-1(x)=4^(x-4)

• f^-1(x)=4^x+4

• f^-1(x)=4^x-4

• f^-1(x)=4^x

Find the inverse of the function f(x)=5^(x+2)

• f^-1(x)=log₅(x-2)

• f^-1(x)=log₅(x)-2

• f^-1(x)=log₅(x)+2

• f^-1(x)=log₅(x+2)

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6

• log₆(x+2)=216

• log₆(216)=x+2

• log_(x+2)(216)=6

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)