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

Roman Case

Roman Case

Answered question

2022-03-08

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

Answer & Explanation

champe547

champe547

Beginner2022-03-09Added 1 answers

1) We will use the addition property of log.
log5(25x)
log5(25)+log5(x)
=log5(52)+log5(x)
=2+log5(x)
Meadow Franco

Meadow Franco

Beginner2022-03-10Added 1 answers

2) We will use the subtraction property of log.
log3(x9)
=log3(x)log3(9)
=log3(x)log3(32)
=log3(x)2

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