Problem

Convert the exponential equation \(5^{x} = 125\) to radical form.

Answer

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Answer

Therefore, the original equation in radical form is \(\sqrt[3]{125} = 5\).

Steps

Step 1 :The given equation is \(5^{x} = 125\).

Step 2 :We can rewrite 125 as \(5^{3}\). So the equation becomes \(5^{x} = 5^{3}\).

Step 3 :Since the bases are the same, the exponents must be equal. So \(x = 3\).

Step 4 :Therefore, the original equation in radical form is \(\sqrt[3]{125} = 5\).

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