${log}_{0.01} 10$ is equal to

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Solution

Let ${log}_{0.01} 10 = x$
$\begin{matrix} \Rightarrow (0.01)^{x} = 10 \Rightarrow 10^{- 2 x} = 10^{1} \Rightarrow x = - \frac{1}{2} \end{matrix}$

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Similar questions

Evaluate:

(i) $l o g_{10} 0.01$

(ii) $l o g_{2} (1 \div 8)$

Express each of the following in exponential form :

(i) $l o g_{8} 0.125 = - 1$

(ii) $l o g_{10} 0.01 = - 2$

(iii) $l o g_{a} A = x$

(iv) $l o g_{10} 1 = 0$

log_0.0110 is equal to

log 0.01 to the base 10 is ___

{log}_{10} 0.01

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