### Home > PC > Chapter 3 > Lesson 3.3.2 > Problem3-123

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

1. $\log_2x^3=6$

${2\text{log}_{2}\textit{x}^3 = 2^6}$

${ \textit{x}^3 = 64}$

${ \textit{x} = 4}$

2. $\log_4x+\log_43=2$