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Chapter 12: Q39. (page 637)

Evaluate each expression.

log93

Short Answer

Expert verified

The value of log93=12.

Step by step solution

01

Step 1. Given Information.

Given, to evaluate the expression log93.

02

Step 2. Calculation.

According to the properties of logarithms, logban=nlogba,logaa=1

Simplifying the expression:

log93=log99log93=log9912log93=12log99log93=121log93=12

03

Step 3. Conclusion.

Hence, log93=12.

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