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Question: Answered & Verified by Expert
$8^{3 \log _{8} 5}$ is equal to
MathematicsBasic of MathematicsCOMEDKCOMEDK 2021
Options:
  • A $\log _{8} 25$
  • B 120
  • C 125
  • D $\log _{8} 15$
Solution:
1368 Upvotes Verified Answer
The correct answer is: 125
$8^{3 \log _{8} 5} \Rightarrow 8^{\log _{8} 5^{3}}=(5)^{3} \quad\left[a^{\log _{a} x}=x\right]$ $=5 \times 5 \times 5=125$

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