Chapter 10: Q9. (page 535)

Evaluate the expression $\log_{2} (\frac{1}{8})$ .

Short Answer

Expert verified

The simplified value of expression is $- 3$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\log_{2} (\frac{1}{8})$ .

Step 2. Simplify the expression.

The given expression $\log_{2} (\frac{1}{8})$ is evaluated as:

$\begin{array}{l} \log_{2} (\frac{1}{8}) = \log_{2} (1) - \log_{2} (8) \\ = 0 - \log_{2} {(2)}^{3} \\ = 0 - 3 \log_{2} (2) \\ = - 3.... (\log_{a} a = 1) \end{array}$

Step 3. Conclusion.

The simplified value of expression is $- 3$ .

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Evaluate the expression $\log_{2} (\frac{1}{8})$ .

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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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 $\log_{2} (\frac{1}{8})$ .