Write in logarithmic form: $$ \quad e^{4}=54.598 $$

Question

UpStudy AI · Accepted Answer

To convert the exponential equation $$ e^{4} = 54.598 $$ into its logarithmic form, you can use the definition of a logarithm:

$$
\text{If } b^x = y \text{, then } \log_b(y) = x.
$$

Applying this to your equation:

$$
e^{4} = 54.598 \quad \Rightarrow \quad \ln(54.598) = 4
$$

**Logarithmic Form:**

$$
\ln(54.598) = 4
$$

Here, $$ \ln $$ represents the natural logarithm, which has the base $$ e $$.
The logarithmic form of $$ e^{4} = 54.598 $$ is $$ \ln(54.598) = 4 $$.

Write in logarithmic form: \( \quad e^{4}=54.598 \)