Chapter 8.5, Problem 35PPS

To determine

To find: The value of each of the function.

Answer to Problem 35PPS

The value of the given function is $2.0478$ .

Explanation of Solution

Given:

The given function is ${\log }_{5}27$ .

The value of ${\log }_{5}3=0.6826$ and ${\log }_{5}4=0.8614$ .

Calculation:

Consider the given logarithm function is,

  ${\log }_{5}27$

Then by the given values the above equation is,

  $\begin{array}{c}{\log }_{5}27={\log }_5{3}^3\\ =3{\log }_{5}3\\ =3\left(0.6826\right)\\ =2.0478\end{array}$