Question

Evaluate: \( 8^{\log_5 5} \)

• A. \( \log_5 25 \)
• B. 120
• C. 125
• D. \( \log_5 15 \)

Hint:

N/A

Answer 1

The Correct Option is C

\[ 8^{\log_5 5} = (2^3)^{\log_5 5} = 2^{3 \cdot \log_5 5} \] \[ = 2^{\log_5 (5^3)} = 2^{\log_5 125} \] Now apply the identity \( a^{\log_b b^k} = k \Rightarrow 2^{\log_5 125} = 125 \)