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Chapter 10: Q8. (page 535)

Evaluate the expression $\log_{4} (256)$ .

Short Answer

Expert verified

The simplified value of expression is $4$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\log_{4} (256)$ .

Step 2. Simplify the expression.

The given expression $\log_{4} (256)$ is evaluated as:

$\begin{array}{l} \log_{4} (256) = \log_{4} {(4)}^{4} \\ = 4 \log_{4} (4) \\ = 4.... (\log_{a} a = 1) \end{array}$

Step 3. Conclusion.

The simplified value of expression is $4$ .

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Evaluate the expression log4256.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Evaluate the expression $\log_{4} (256)$ .