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Chapter 12: Problem 8

Write each equation in its equivalent exponential form. $$\log _{5} 125=y$$

Short Answer

Expert verified
The equivalent exponential form is \(5^y = 125\).

Step by step solution

01

Identify the base, exponent, and result

From the equation \(\log _{5} 125=y\), identify that the base 'b' is 5, the result 'c' is 125, and the exponent 'a' is y.
02

Transform to exponential form

Based on the relationship \(b^a = c\), replace 'b' with 5, 'a' with y, and 'c' with 125. This gives the equivalent exponential equation as: \(5^y = 125\).

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