Introduction to Logarithms and Exponential

Evaluate: log₉3

• ½

• -½

• 2

• -2

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

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 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)