Chapter 5.4, Problem 12AYU

In Problems 11-18, change each exponential statement to an equivalent statement involving a logarithm.

$a^3=2.1$

To determine

To find: The logarithmic function of $2.1=a^3$.

Answer to Problem 12AYU

$3=lo{g}_{a}2.1$

Explanation of Solution

Given:

$2.1=a^3$

Calculation:

For the given exponential form $x=e^y$, the corresponding logarithmic function, should be $y=lnx$.

Therefore, $2.1=a^3$ is written as $3=lo{g}_{a}2.1$.