Logarithmic expression with three terms So, I have this

Anika Boyd

Anika Boyd

Answered question

2022-03-22

Logarithmic expression with three terms
So, I have this logarithmic expression
log58log520log510
that I know how to evaluate - the quotient of numbers is the difference of logarithms, so you divide, etc. - but how the heck do you solve one like this with three logs?
I've been able to solve others that only had two logs, but this one confuses me. Help?

Answer & Explanation

okusen8m1a

okusen8m1a

Beginner2022-03-23Added 8 answers

We know that log(a)log(b)=log(ab). Hence, we have
log5(8)log5(20)log5(10)=log5(820)log5(10)
=log5(82010)
=log5(8200)
=log5(125)
=log5(1)log5(25)
=02=2
Aaliyah Phillips

Aaliyah Phillips

Beginner2022-03-24Added 9 answers

log58log520log510=log58200=log5125=log51log525=02=2

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