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Chapter 5: Q 25. (page 298)

Find the exact value of the logarithm without using a calculator.

log21

Short Answer

Expert verified

The exact value of the logarithm is 0.

Step by step solution

01

Step 1. Given information

A logarithmic function is given as log21.

02

Step 2. Formula Used

The logarithmic function y=logax can be changed into an exponential statement asx=ay.

03

Step 3. Finding Value of the logarithm

The logarithm is log21.

Consider log21=x

By changing rule,

2x=12x=20x=0log21=0

The required vaue is,

log21=0

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