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The value of ...

Question

The value of x,if ${log}_{10} x = - 2$ is $k$ .
then $100 x$ =?

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Solution

Since, ${log}_{10} x = - 2$
$⟹ In exponent form$
$x = 10^{- 2}$
$⟹ x = 0.01 = k$
Thus, $100 x = 100 \times 0.01 = 1$

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