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Chapter 10: Q. 395 (page 1064)

In the following exercises, convert each logarithmic equation to exponential form.

5=log100,000

Short Answer

Expert verified

The exponential form is 105=100000.

Step by step solution

01

Step 1. Concept used 

Consider the logarithmic form 5=log100,000.

The logarithmic form role="math" localid="1645022417644" y=logaxis equivalent to exponential form

ay=x.

02

Step 2. Write in exponential form 

Comparing 5=log100,000with the standard form,y=logax

we have

y=5a=10x=100000

So substituting the values in the standard exponential form ay=xwe get

ay=x510=100000

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