Q61 / 180 · COMEDK 2020 · Mathematics

$7^{2 \log _{7} 5}$ is equal to

  • A
    5
  • B
    $\log _{7} 35$
  • C
    $\log _{7} 25$
  • Correct answer
    D
    25

Solution

We have, $7^{2 \log 5} 5$ $=7^{\log _{7} 5^{2}}$ $=5^{2}$ [ $m \log a=\log a^{m}$ ] $\left[a^{\log _{a} b}=b\right]$ $=25$

Hence, the correct answer is option: 'D'.

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