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B. 1

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D. 3

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Hint: Use the information that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$.

Complete step-by-step answer:

We know that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$. Now, let ${\log _5}125 = x$then on taking anti-log we get, $125 = {5^x} \Rightarrow {5^3} = {5^x} \Rightarrow x = 3$. Hence the value of ${\log _5}125$ is 3.

Note: It is always better to understand and learn formulas. It’ll help you to enhance your problem-solving techniques as in this problem.

Complete step-by-step answer:

We know that, on taking anti-log of ${\log _a}b = c$, we get $b = {a^c}$. Now, let ${\log _5}125 = x$then on taking anti-log we get, $125 = {5^x} \Rightarrow {5^3} = {5^x} \Rightarrow x = 3$. Hence the value of ${\log _5}125$ is 3.

Note: It is always better to understand and learn formulas. It’ll help you to enhance your problem-solving techniques as in this problem.