What is log_{6}(sqrt(x))-log_{6}(x^2) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^2) is log_{6}((sqrt(x))/(x^2))

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simplify log_{6}(sqrt(x))-log_{6}(x^2)

simplify

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

lo g_{6} (\frac{x}{x ^{2}})

Solution steps

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

Apply log rule:

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

lo g_{6} (x) - lo g_{6} (x^{2}) = lo g_{6} (\frac{x}{x ^{2}})

= lo g_{6} (\frac{x}{x ^{2}})

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

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

ln (\frac{x}{x ^{2} + 7})

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

lo g_{6} (x) - lo g_{6} (x^{4})

What is log_{6}(sqrt(x))-log_{6}(x^2) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^2) is log_{6}((sqrt(x))/(x^2))