Log and Exponential Form

Rewrite in exponential form. $\log_{6\ }t=m$  

•  $m^t=6$  

•  $t^m=6$  

•  $6^t=m$  

•  $6^m=t$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate log₄ 1=?

• 1

• 0

• 4

• undefined

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

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

Write the inverse function:  $24^x=a$  

•  $\log_{24}x=a$  

•  $\log_{24}a=x$  

•  $\log_xa=24$  

•  $\log_ax=24$  

Tags

CCSS.HSF.BF.B.5