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Logarithms

If log10 x ...

Question

If ${log}_{10} x = a$ and ${log}_{10} y = b$ , then $10^{a - 1}$ in terms of $x$ will be

A

\frac{x}{7}

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B

\frac{x}{8}

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C

\frac{x}{9}

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D

\frac{x}{10}

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Solution

The correct option is D $\frac{x}{10}$
Given, $l o g_{10} x = a, {log}_{10} y = b$
$⟹ 10^{a} = x$
$⟹ 10^{a - 1} = \frac{x}{10}$
Hence, option D is correct.

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{log}_{10} x = 2 a

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