What is log_{7}(sqrt(x))-log_{7}(x^2) ?

The solution to log_{7}(sqrt(x))-log_{7}(x^2) is log_{7}((sqrt(x))/(x^2))

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simplify log_{7}(sqrt(x))-log_{7}(x^2)

simplify

lo g_{7} (x) - lo g_{7} (x^{2})

lo g_{7} (\frac{x}{x ^{2}})

Solution steps

lo g_{7} (x) - lo g_{7} (x^{2})

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^{2}) = lo g_{7} (\frac{x}{x ^{2}})

= lo g_{7} (\frac{x}{x ^{2}})

ln (\frac{x}{b})

\frac{1}{2} lo g_{10} (3) - \frac{1}{2} lo g_{10} (12)

ln (\frac{x}{e})

- \frac{1}{2} (ln (3) - ln (2)) + \frac{5}{6}

What is log_{7}(sqrt(x))-log_{7}(x^2) ?
The solution to log_{7}(sqrt(x))-log_{7}(x^2) is log_{7}((sqrt(x))/(x^2))