Evaluate 3^(2 log base 3 of 5)

$3^{2 \log_{3} (5)}$

Step 1

Simplify $2 \log_{3} (5)$ by moving $2$ inside the logarithm.

$3^{\log_{3} (5^{2})}$

Step 2

Exponentiation and log are inverse functions.

$5^{2}$

Step 3

Raise $5$ to the power of $2$ .

$25$

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