QuestionConvert the equation $5^{x}=7$ into logarithmic form.

Studdy Solution

STEP 1

Assumptions1. The base of the exponential equation is5. The exponent of the base is x3. The result of the exponential operation is7

STEP 2

The general form of an exponential equation is $b^{x}=y$ , where b is the base, x is the exponent and y is the result.
In this case, we have $5^{x}=7$ .

STEP 3

We can convert an exponential equation to a logarithmic equation using the following relation $b^{x}=y$ is equivalent to $\log_{b}(y)=x$ .

STEP 4

Applying this relation to our equation, we get $\log_{}(7)=x$ .
This is the logarithmic form of the given exponential equation.

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