Problem

Rewrite the logarithmic equation \(\log_{2}(x) = 5\) in exponential form.

Answer

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Answer

So, the equation \(\log_{2}(x) = 5\) is equivalent to \(2^5 = x\).

Steps

Step 1 ：The equation \(\log_{2}(x) = 5\) can be rewritten in exponential form using the definition of the logarithm. The base of the logarithm becomes the base of the power, the right side of the equation becomes the exponent, and the number inside the logarithm becomes the result.

Step 2 ：So, the equation \(\log_{2}(x) = 5\) is equivalent to \(2^5 = x\).

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