Chapter 8.6, Problem 29PPS

To determine

To find: The value of given variable.

Answer to Problem 29PPS

The value of given variable is $n>0.6667$ .

Explanation of Solution

Given information:

The equation is $6^{3n}>36$ .

Calculation:

Consider the equation.

y1 $\begin{array}{l}{6}^{3n}>36\\ \log 6^{3n}>\log 36\\ 3n\log 6>\log 36\\ n>\frac{1}{3}\frac{\log 36}{\log 6}\\ n>0.6667\end{array}$