jasminevasquez0 jasminevasquez0

11-03-2017
Mathematics

Answered

Log25x-log5=2

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Verified Answer :

apologiabiology apologiabiology

11-03-2017

since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
\(log_a(b)=c\) translates to \(a^c=b\)
and log(a^z)=zlog(a)

log25x-log5=2 means
\(log_{10}(25x)-log_{10}(5)=2\) translates to
\(log_{10}( \frac{25x}{5} )=2\) simplies to
\(log_{10}(5x)=2\) translates to
\(10^2=5x\) expands to
100=5x
divide both sides by 5
20=x

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26-02-2019

Answer:

40

Step-by-step explanation:

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