What is log_{10}(xsqrt((\sqrt{x))/y}) ?

The solution to log_{10}(xsqrt((\sqrt{x))/y}) is log_{10}(x)+log_{10}(sqrt((\sqrt{x))/y})

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simplify log_{10}(xsqrt((\sqrt{x))/y})

simplify

lo g_{10} x \frac{x}{y}

lo g_{10} (x) + lo g_{10} \frac{x}{y}

Solution steps

lo g_{10} x \frac{x}{y}

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} x \frac{x}{y} = lo g_{10} (x) + lo g_{10} \frac{x}{y}

= lo g_{10} (x) + lo g_{10} \frac{x}{y}

3 lo g_{2} (3) - 12 lo g_{2} (7)

lo g_{7} (x) - lo g_{7} (x^{3})

lo g_{2} (\frac{4}{x + 7})

\frac{1}{lo g _{2} ( 10 ) - lo g _{2} ( 9 )}

lo g_{10} (5 x + 1) - lo g_{10} (x)

What is log_{10}(xsqrt((\sqrt{x))/y}) ?
The solution to log_{10}(xsqrt((\sqrt{x))/y}) is log_{10}(x)+log_{10}(sqrt((\sqrt{x))/y})