Exponential and Logarithmic Functions

Condense the logarithm.

• 
• 
• 
• 

Condense the logarithm.

• 
• 
• 
• 

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 Expand logarithm

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Condense into a single logarithm.

• A
• B
• C
• D

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which is the inverse for the function?
f(x) = 2^2x-3

• f^-1(x) = log₂(x) − 6
• f^-1(x) = log₂(x) + 6
• f^-1(x)=½log₂(x) + 3/2
• f^-1(x)=½ln(x)+3/2

Find the inverse of the function
f(x) = e^x-4

• f^-1(x)=ln(x) + 4
• f^-1(x)=ln(e) + 4
• f^-1(x)=ln(x) − 4
• f^-1(x)=log(x) + 4

Find the inverse of the function:
f(x) = 10^3x

• f^-1(x)=log(3x) 
• f^-1(x)=3log(x) 
• f^-1(x)=⅓ log(x)
• f^-1(x)=⅓ ln(x)

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