QuestionConvert the exponential equation $5^{3}=125$ to a logarithmic form.

Studdy Solution

STEP 1

Assumptions1. We are given the exponential expression $5^{3}=125$ . . We want to convert this to an equivalent logarithmic expression.

STEP 2

The general form of an exponential expression is $b^{x}=y$ , where $b$ is the base, $x$ is the exponent, and $y$ is the result.
In our case, $b=5$ , $x=$ , and $y=125$ .

STEP 3

The logarithmic equivalent of an exponential expression $b^{x}=y$ is $\log_{b}y=x$ .

STEP 4

Substitute the values of $b$ , $x$ , and $y$ into the logarithmic expression.
$\log_{}125=3$ So, the logarithmic equivalent of the given exponential expression $^{3}=125$ is $\log_{}125=3$ .

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