Algebra 2 Logarithm Review

The common logarithm has what base?

• 10

• 0

• e

• -e

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2

Expand the following logarithm: 
log₃ 10z 

• log₃ 10 - log₃ z

• log₃ 10 + log₃ z 

• zlog₃ 10

• log₃ z¹⁰

Expand the following logarithm: 
log₂ 6/y 

• log₂ 6 - log₂ y 

• log₂ y - log₂ 6 

• 2log 6 + 2log y

• log₂ 6 - y

Condense the following logarithm: lnx + ln4 

• ln 4x

• ln 4/x

• log 4 + log x

• ln x⁴

Condense the following logarithm: 3 log₂ x + 2 log₂ y – 4 log₂ z 

• log₂ x³y²∕z⁴

• log₂ x³y²z⁴

• log₂ xyz⁹

• 9log₂ xyz

Expand

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

Rewrite this equation in logarithmic form.

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Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4