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Chapter 5: Q. 17 (page 297)

Change the given logarithmic statement to an equivalent statement involving an exponent.

log2(8)=3

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement is23=8.

Step by step solution

01

Step 1. Given information

A logarithmic statement is given aslog2(8)=3

02

Step 2. Formula

The logarithmic function y=loga(x)can be changed into an exponential statement asx=ay.

03

Step 3. Conversion

The logarithmic statement is log2(8)=3.

Compare statement with y=loga(x).

x=8,a=2, andy=3

So, the corresponding exponential statement is

23=8

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