Write each expression as a sum and/or difference of logarithms.

BolkowN

BolkowN

Answered question

2021-08-14

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
1) log5(25x)
2) log3x9
3) log2z3

Answer & Explanation

bahaistag

bahaistag

Skilled2021-08-15Added 100 answers

1) Given: log5(25x)
since logc(ab)=logc(a)+logc(b)
therefore log5(25x)=log5(25)+log5(25)
and we have log5(25)=2
so, log5(25x)=2+log5x
2) Given: log3x9
since we have logcab=logc(a)logc(b)
therefore log3x9=log3(x)log3(9)
log3(9)=2
log3x9=log3(x)2
3) Given: log2z3
we have logcmn=nlogcm
then log2z3=3log2z

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