Solve logx^4-1/4logy^3

$$\log x ^ { 4 } - 1 / 4 \log y ^ { 3 }$$

Factor

$$\frac{\log_{10}\left(e\right)\left(8\ln(x^{2})-3\ln(y)\right)}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{4\log_{10}\left(x^{4}\right)-\log_{10}\left(y^{3}\right)}{4}$$

Consider 4\ln(x^{4})\times \frac{1}{\ln(10)}-\ln(y^{3})\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.

$$\frac{4\ln(x^{4})-\ln(y^{3})}{\ln(10)}$$

Rewrite the complete factored expression.

$$\frac{4\ln(x^{4})-\ln(y^{3})}{4\ln(10)}$$

Evaluate

$$2\log(x^{2})-\frac{3\log(y)}{4}$$