What is (5^{log_{5}(pi)})^{5.2} ?

The solution to (5^{log_{5}(pi)})^{5.2} is 384.75062…

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simplify (5^{log_{5}(pi)})^{5.2}

simplify

(5^{l o g_{5} (π)})^{5.2}

384.75062 \dots

Solution steps

(5^{l o g_{5} (π)})^{5.2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 5^{l o g_{5} (π) \cdot 5.2}

lo g_{5} (π) \cdot 5.2 = 3.69855 \dots

= 5^{3.69855 \dots}

5^{3.69855 \dots} = 384.75062 \dots

= 384.75062 \dots

(1 + 5) (1 + 5)

e^{- c x} x^{n}

(3 - x) (3 - x)

, e^{- α^{2} k^{2} t}

3.5 \times 1 0^{- 5}

What is (5^{log_{5}(pi)})^{5.2} ?
The solution to (5^{log_{5}(pi)})^{5.2} is 384.75062…