Q 23. - Precalculus Enhanced with Graphing Utilities

Question

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

$\ln 4=x$

Step-by-Step Solution

Answer

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

Step 1. Given information

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

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 $\ln 4=x$.

Compare statement with $y=\ln \left(x\right)$.

$x=4$, and $y=x$

So, the corresponding exponential statement is

$e^x=4$