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Chapter 5: Q 21. (page 297)

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

log3(2)=x

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement is3x=2.

Step by step solution

01

Step 1. Given information

A logarithmic statement is given aslog3(2)=x

02

Step 2. Formula Used

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

03

Step 3. Conversion 

The logarithmic statement is log3(2)=x.

Compare statement with y=loga(x).

x=2,a=3, and y=x

So, the corresponding exponential statement is

3x=2

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