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nth Term of A.P

The value of ...

Question

The value of ${log}_{2} 10 - {log}_{8} 125$ is

A

0

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B

1

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C

2

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D

4

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Solution

The correct option is B $1$
Now,
${log}_{2} 10 - {log}_{8} 125$
$= {log}_{2} (2 \times 5) - {log}_{(2^{3})} 5^{3}$
$= {log}_{2} 2 + {log}_{2} 5 - \frac{3}{3} {log}_{2} 5$
$= 1 + {log}_{2} 5 - {log}_{2} 5$
$= 1$ .

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