CPM Homework Help : PC Problem 3-123

Solve without using a calculator. An example is shown below. Note that we reject the negative answer because the domain of any log is positive numbers.

Example:	$\log_5x+2\log_53=2$
Solution:	$\log_5x+\log_53^2=2$ $\log_59x=2$ $9x = 5^{2}$ $x=\frac{25}{9}$

$\log_2x^3=6$
Step Solution (a):
${2\text{log}_{2}\textit{x}^3 = 2^6}$
${ \textit{x}^3 = 64}$
${ \textit{x} = 4}$
$\log_4x+\log_43=2$
Hint (b):
Follow the example given above.