Logarithms and Exponentials

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

Tags

CCSS.HSF-BF.B.4A

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)

Tags

CCSS.HSF-BF.B.4A

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Tags

CCSS.HSF.BF.B.5

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

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3
• 3^(x+2)=8
• 8³=x+2
• 3⁸=x+2

Tags

CCSS.HSF.BF.B.5

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

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Tags

CCSS.HSF.BF.B.5

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

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)

Tags

CCSS.HSF-BF.B.4A