CPM Homework Help : PC Problem 7-29

Given $\log _{b} M = 2.1$ , $\log_{b} N = 0.6$ and $\log _{b} P = −1.8$ , find $\log b \frac { \sqrt { N P } } { M ^ { 2 } }$ .

Hint:

Break this up into many logs. Then substitute the given values.

Steps:

$\log_{b}\sqrt{N}+\log_{b}\sqrt{P}-\log_{b}M^{2}$

$\left ( \frac{1}{2} \right )\text{log}_{b}N+\left ( \frac{1}{2} \right )\text{log}_{b}P-2\text{log}_{b}M$

Substitute the known values in the expression above.