Solve log(sqrt x^3 y^-4)

Evaluate

lo g_{10} ((x)^{3} y^{- 4})

Multiply the terms

lo g_{10} (x x \times y^{- 4})

Rewrite the expression

More Steps

lo g_{10} (\frac{x x}{y ^{4}})

Use lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y) to transform the expression

lo g_{10} (x x) - lo g_{10} (y^{4})

Simplify the expression

More Steps

\frac{3}{2} lo g_{10} (x) - lo g_{10} (y^{4})

Solution

\frac{3}{2} lo g_{10} (x) - 4 lo g_{10} (y)

Expand the expression