Solve 1/8logx+1/3logy-1/4|0

$$\frac { 1 } { 8 } \log x + \frac { 1 } { 3 } \log y - \frac { 1 } { 4 } | 0$$

Factor

$$\frac{\log_{10}\left(e\right)\left(3\ln(x)+8\ln(y)\right)}{24}$$

Solution Steps

Factor out \frac{1}{24}.

$$\frac{3\log_{10}\left(x\right)+8\log_{10}\left(y\right)}{24}$$

Consider 3\ln(x)\times \frac{1}{\ln(10)}+8\ln(y)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.

$$\frac{3\ln(x)+8\ln(y)}{\ln(10)}$$

Rewrite the complete factored expression.

$$\frac{3\ln(x)+8\ln(y)}{24\ln(10)}$$

Evaluate

$$\frac{\log(x)}{8}+\frac{\log(y)}{3}$$