Ise properties of logarithms to expand the logarithmic expression as much as pos

Susan Munoz

Susan Munoz

Answered question

2021-11-08

Ise properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator
log5(625y)

Answer & Explanation

James Obrien

James Obrien

Beginner2021-11-09Added 16 answers

Step 1
According to the properties of logarithms, we have the following:
loga(bc)=loga(b)loga(c)  and  loga(an)=n
Step 2
The given logarithmic expression can be simplified as shown below:
log5(625y)=log(625)log5(y)
=log5(54)log5(y)
=4log5(y)

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