QuestionRewrite the equation in exponential form. $\ln (w)=n$ $\square$

Studdy Solution

STEP 1

1. The natural logarithm function, $\ln$ , is the inverse of the exponential function with base $e$ .
2. The equation $\ln(w) = n$ can be rewritten using the properties of logarithms and exponents.

STEP 2

1. Identify the relationship between the logarithmic and exponential forms.
2. Rewrite the equation in exponential form.

STEP 3

Recognize that the equation $\ln(w) = n$ implies that $w$ is the result of raising the base $e$ to the power of $n$ .

STEP 4

Rewrite the equation $\ln(w) = n$ in exponential form using the relationship identified in Step 1:
$w = e^n$
This is the exponential form of the given logarithmic equation.

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