Chapter 9.1, Problem 56SR

To determine

To find: The solution for each of the equation or inequality round to the nearest ten thousand.

Answer to Problem 56SR

The required solution is $n=4.7820$ .

Explanation of Solution

Given:

The given function is $8\cdot 2^{n-3}=42.5$ .

Calculation:

Consider the given equation or inequality is,

  $8\cdot 2^{n-3}=42.5$

Solve the above equation by taking algorithm of both the sides.

  $\begin{array}{l}8\cdot 2^{n-3}=42.5\\ \log \left({8.2}^{n-3}\right)=\log \left(42.5\right)\\ n-3=\frac{\log \left(42.5\right)}{\log 8.2}\\ n=4.7820\end{array}$