Exponentials and Logarithms

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)

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)

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x

• 1^x=y+2

• 10^x=y+2

• x^(y+2)=10

log_x(64)=3

• x=8

• x=4

• x=3

• x=64

Convert log₁₂(x)=2 to exponential form.

• 12²=x

• 12^x=2

• x²=12

• 2^x=12

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 log₈(x+2)=3 to exponential form.

• 8^(x+2)=3

• 3^(x+2)=8

• 8³=x+2

• 3⁸=x+2