What is the quotient rule of logarithms?

Sylvia Macias

Sylvia Macias

Answered question

2022-12-29

What is the quotient rule of logarithms?

Answer & Explanation

Ashly Mckinney

Ashly Mckinney

Beginner2022-12-30Added 8 answers

The answer is log(ab)=logalogb or you can use ln(ab)=lnalnb.
An example of how to use this: using the quotient property to condense: log(2522)
=log(25)log(22)
=5log22log2
=3log2
You might also experience a reversed issue: as a single log: 2log43log5
=log(42)log(35)
=log(16)log(125)
=log(16125)

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