Q 24. - Precalculus Enhanced with Graphing Utilities

Question

Change the given logarithmic statement to an equivalent statement involving an exponent. 

$\ln x=4$

Step-by-Step Solution

Answer

The equivalent exponential statement of the given logarithmic statement is $e^4=x$.

Step 1. Given information

A logarithmic statement is given as $\ln x=4$.

Step 2. Formula Used

The logarithmic function $y=\ln x$ can be changed into an exponential statement as $x=e^y$.

Step 3. Conversion

The logarithmic statement is $\ln x=4$.

Compare statement with $\ln x=y$.

$x=x$, and $y=4$

So, the corresponding exponential statement is

$e^4=x$