Inverse of Exponential and Log

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

Tags

CCSS.HSF.BF.B.5

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)

Tags

CCSS.HSF-BF.B.4A

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)

Tags

CCSS.HSF-BF.B.4A

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)

Tags

CCSS.HSF-BF.B.4A

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

• 10^(y+2)=x

• 1^x=y+2

• 10^x=y+2

• x^(y+2)=10

Tags

CCSS.HSF.BF.B.5

log_x(64)=3

• x=8

• x=4

• x=3

• x=64

Tags

CCSS.HSF.BF.B.5

Convert log₁₂(x)=2 to exponential form.

• 12²=x

• 12^x=2

• x²=12

• 2^x=12

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF-BF.B.4A

Convert 2^x+6=10 to logarithmic form

• log₄(x)=2

• log₂(4)=x

• log₂(10)=6

• log₂(x)=4

Tags

CCSS.HSF.BF.B.5

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.BF.B.5