Precalculus Functions Exponential and Logarithmic

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))

• log₂(x³yz)

• log₂(x³z/y)

• log₂(x³/(yz))

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

Is this exponential growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Expand:

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Solve for x:

2(3)^x+1 = 36

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Tags

CCSS.HSF.LE.A.4

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

Tags

CCSS.HSF-IF.C.7E

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0

• 1

• 2

• 3