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Chapter 10: Q11. (page 535)

Evaluate the expression $\log_{5} 5^{- 1}$ .

Short Answer

Expert verified

The simplified value of expression is $- 1$ .

Step by step solution

01

Step 1. Write down the given expression.

The given expression is $\log_{5} 5^{- 1}$ .

02

Step 2. Simplify the expression.

The given expression $\log_{5} 5^{- 1}$ is evaluated as:

$\begin{array}{l} \log_{5} 5^{- 1} = \log_{5} (\frac{1}{5}) \\ = \log_{5} (1) - \log_{5} (5) \\ = 0 - 1 \\ = - 1 \end{array}$

03

Step 3. Conclusion.

The simplified value of expression is $- 1$ .

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