Given the following logarithmic function below, what is the value of ?

7
5
6
4
4

Ask by Bernard Bryant. in the United States

Jan 25,2025

Question

Given the following logarithmic function below, what is the value of $$ f\left(e^{4}\right) $$ ? $$ f(x)=\ln x $$ 7 5 6 4 4

UpStudy AI · Accepted Answer

Evaluate the expression by following steps:
- step0: Evaluate:
  $$\ln{\left(x\right)}$$
- step1: Substitute:
  $$\ln{\left(e^{4}\right)}$$
- step2: Simplify the expression:
  $$4$$
To find the value of $$ f\left(e^{4}\right) $$ for the function $$ f(x) = \ln x $$, we substitute $$ x $$ with $$ e^{4} $$:

$$
f\left(e^{4}\right) = \ln\left(e^{4}\right)
$$

Using the property of logarithms that states $$ \ln(e^{a}) = a $$, we have:

$$
\ln\left(e^{4}\right) = 4
$$

Thus, the value of $$ f\left(e^{4}\right) $$ is $$ 4 $$.
$$ f\left(e^{4}\right) = 4 $$

Given the following logarithmic function below, what is the value of ?

7
5
6
4
4

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Given the following logarithmic function below, what is the value of ? 7 5 6 4 4