Solve frac{log_{2}x-log_{2}z^3}{2}

$$\frac { \log _ { 2 } x - \log _ { 2 } z ^ { 3 } } { 2 }$$

Factor

$$\frac{\ln(x)-3\ln(z)}{2\ln(2)}$$

Solution Steps

Consider \ln(x)\times \frac{1}{\ln(2)}-\ln(z^{3})\times \frac{1}{\ln(2)}. Factor out \frac{1}{\ln(2)}.

$$\frac{\ln(x)-\ln(z^{3})}{\ln(2)}$$

Rewrite the complete factored expression.

$$\frac{\ln(x)-\ln(z^{3})}{2\ln(2)}$$

Evaluate

$$\frac{\ln(x)-3\ln(z)}{2\ln(2)}$$