Precalculus Logarithmic and Exponential Function Review

Sketch the graph of the function y=4^x+2-2

• A
• B
• C
• D

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

Find the inverse of 
y = 5^2x+8

• y = log₅(x-8) / 2
• y = log₅x -4
• y = log(2x-8)
• y = 26^x

Find the inverse of 
y = log₂(x+1) - 5

• y = 2^x+5 - 1
• y = 2^x + 4
• y = 2^x+4
• y = log₂(x-1)

 Expand logarithm

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

Expand logarithm

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Condense logarithm

• log₈(x⁶)/log₈(y³)
• log₈(x⁶/y³)
• log₈(x/y³)
• log₈(x⁶y³)

log (x - 1)  - log (x - 2)  = log 5

• 7
• 4/9
• 9/4
• 1/7

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Write as the sum and difference of logs (EXPAND)

• A
• B
• C
• D