Question

express the equation in exponential form.
(a) \\(\ln(x + 9) = 2\\)

Explanation:

Step1: Recall the definition of natural logarithm

The natural logarithm $\ln(y)$ is defined as the exponent to which $e$ must be raised to get $y$, that is, if $\ln(y) = a$, then $e^{a}=y$.

Step2: Apply the definition to the given equation

Given $\ln(x + 9)=2$, using the definition of natural logarithm (where $y=x + 9$ and $a = 2$), we can rewrite it in exponential form as $e^{2}=x + 9$.

Answer:

$e^{2}=x + 9$