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Chapter 12: Q38. (page 637)

Evaluate each expression.
$\log_{3} 243$

Short Answer

Expert verified

The value of $\log_{3} 243 = 5$ .

Step by step solution

Step 1. Given Information.

Given, to evaluate the expression $\log_{3} 243$ .

Step 2. Calculation.

According to the properties of logarithms, $\log_{b} a^{n} = n \log_{b} a, \log_{a} a = 1$

Simplifying the expression:

$\begin{array}{l} \log_{3} 243 = \log_{3} 3^{5} \\ \log_{3} 243 = 5 \log_{3} 3 \\ \log_{3} 243 = 5 (1) \\ \log_{3} 243 = 5 \end{array}$

Step 3. Conclusion.

Hence, $\log_{3} 243 = 5$ .

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Evaluate each expression.log3243

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Evaluate each expression.
$\log_{3} 243$