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Chapter 10: Q. 188 (page 1034)

In the following exercises, solve each logarithmic equation.

loga16=2

Short Answer

Expert verified

The value isa=4

Step by step solution

01

Given information

Given equationloga16=2

02

Rewrite in exponential form

Rewriting, we get

loga16=2a2=16a=±4

03

Checking the solution

Checking, we get

log416=log442=2log44=2

Base can't be negative soa=-4is eliminated

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