Solve {left(log_{10}({x-y})right)}^frac{1{8}}-1/4log_{10}({x-y})

$${ \left( \log_{ 10 }({ x-y }) \right) }^{ \frac{ 1 }{ 8 } } - \frac{ 1 }{ 4 } \log_{ 10 }({ x-y })$$

Factor

$$\frac{-\log_{10}\left(x-y\right)+4\sqrt[8]{\log_{10}\left(x-y\right)}}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{4\sqrt[8]{\log_{10}\left(x-y\right)}-\log_{10}\left(x-y\right)}{4}$$

Evaluate

$$-\frac{\log(x-y)}{4}+\sqrt[8]{\log(x-y)}$$