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If log10 8 ...

Question

If ${log}_{10} 8 = 0.90$ , then the value of ${log}_{10} 0.125$ is

A

0.9

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B

1

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C

0

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D

- 0.9

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Solution

The correct option is D $- 0.9$
${log}_{10} 8 = 0.90$
${log}_{10} 0.125 = {log}_{10} \frac{1}{8} = {log}_{10} 8^{(- 1)} = - {log}_{10} 8 = - 0.9$ (Using $log a^{b} = b log a$ )

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