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"Solve for x (where log_x() denotes the logarithm on base x): log_x(25) = 2.50, x = __"

User Wynemo
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1 Answer

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11 votes

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Answer:

x = 625^(1/5) ≈ 3.62390

Explanation:

Using the change of base formula, we have ...


\log_x(25)=2.5\\\\(\log(25))/(\log(x))=2.5\\\\\log(x)=(\log(25))/(2.5)=0.4\log(25)=\log(25^(0.4))\\\\x=25^(0.4)=\sqrt[5]{25^2}=\boxed{\sqrt[5]{625}\approx 3.62390}

User Psx
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