What is log_{5}(sqrt(x))-log_{5}(x^9) ?

The solution to log_{5}(sqrt(x))-log_{5}(x^9) is log_{5}((sqrt(x))/(x^9))

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simplify log_{5}(sqrt(x))-log_{5}(x^9)

simplify

lo g_{5} (x) - lo g_{5} (x^{9})

lo g_{5} (\frac{x}{x ^{9}})

Solution steps

lo g_{5} (x) - lo g_{5} (x^{9})

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{5} (x) - lo g_{5} (x^{9}) = lo g_{5} (\frac{x}{x ^{9}})

= lo g_{5} (\frac{x}{x ^{9}})

\frac{1}{2} (lo g_{7} (a) + lo g_{7} (b))

ln (\frac{139}{7})

lo g_{2} (16 x)

lo g_{10} (z y^{8})

ln (a x a + x)

What is log_{5}(sqrt(x))-log_{5}(x^9) ?
The solution to log_{5}(sqrt(x))-log_{5}(x^9) is log_{5}((sqrt(x))/(x^9))