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Chapter 10: Q. 145E (page 1033)

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

5=logx32

Short Answer

Expert verified

x5=32

Step by step solution

01

Step 1. Given Information

5=logx32

02

Step 2. Calculation 

The logarithmic form y=logax

is equivalent to exponential formx=ay.

Comparing 5=logx32

with standard form y=logax, you have

y=5,a=x,x=32

Convert logarithmic form in exponential form as shown below:

x=ay32=x5x5=32

Therefore, if5=logx32

role="math" localid="1644943653226" thenx5=32.

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