What is log_{7}(sqrt(x))-log_{7}(x^9) ?

The solution to log_{7}(sqrt(x))-log_{7}(x^9) is log_{7}((sqrt(x))/(x^9))

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simplify log_{7}(sqrt(x))-log_{7}(x^9)

simplify

lo g_{7} (x) - lo g_{7} (x^{9})

lo g_{7} (\frac{x}{x ^{9}})

Solution steps

lo g_{7} (x) - lo g_{7} (x^{9})

Apply log rule:

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

lo g_{7} (x) - lo g_{7} (x^{9}) = lo g_{7} (\frac{x}{x ^{9}})

= lo g_{7} (\frac{x}{x ^{9}})

ln (\frac{6}{e ^{4}})

lo g_{2} (x) - lo g_{2} (x^{6})

lo g_{10} (\frac{x ^{3}}{5})

lo g_{2} (x) - lo g_{2} (x^{5})

\frac{1}{2} lo g_{a} (x)

What is log_{7}(sqrt(x))-log_{7}(x^9) ?
The solution to log_{7}(sqrt(x))-log_{7}(x^9) is log_{7}((sqrt(x))/(x^9))