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Chapter 5: Q 22. (page 297)

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

log2(6)=x

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement is2x=6

Step by step solution

01

Step 1. Given information

A logarithmic statement is given aslog2(6)=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 log2(6)=x.

Compare statement with y=loga(x).

x=6,a=2, and y=x

So, the corresponding exponential statement is

2x=6

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