QuestionRewrite the logarithmic equation $\ln y=9$ as an exponential equation.

Studdy Solution

STEP 1

Assumptions1. The logarithmic expression is $\ln y =9$ . The base of the natural logarithm $\ln$ is $e$ (uler's number, approximately equal to.71828)

STEP 2

The logarithm base $b$ of a number $x$ is equal to $y$ can be written in exponential form as $b^y = x$ .

STEP 3

In this case, the base $b$ is $e$ , the number $x$ is $y$ , and the logarithm of the number $x$ is $9$ . So we can write the equation in exponential form as follows $e^9 = y$ This is the equivalent expression involving an exponent for the given logarithmic expression.

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