Expand using logarithmic properties. Where possible, evaluate logarithmic expressions.

Dolly Robinson 2021-08-17 Answered
Expand using logarithmic properties. Where possible, evaluate logarithmic expressions.
log5(x3y125)
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Expert Answer

Alix Ortiz
Answered 2021-08-18 Author has 109 answers
Step 1
On simplification, we get
log5(x3y125)=log5(125) [loga(mn)=loga(m)loga(n)]
=log5(x3)+log5(y)log5(53) [loga(mn)=loga(m)+loga(n)]
=log5(x3)+log5(y12)log5(53)
=3log5(x)+12log5(y)3log5(5) [loga(mn)=nloga(m)]
=3log5(x)+12log5(y)3(1) [loga(a)=1]
=3log5(x)+12log5(y)3
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