What is log_{6}(sqrt(x))-log_{6}(x^5) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^5) is log_{6}((sqrt(x))/(x^5))

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simplify log_{6}(sqrt(x))-log_{6}(x^5)

simplify

lo g_{6} (x) - lo g_{6} (x^{5})

lo g_{6} (\frac{x}{x ^{5}})

Solution steps

lo g_{6} (x) - lo g_{6} (x^{5})

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^{5}) = lo g_{6} (\frac{x}{x ^{5}})

= lo g_{6} (\frac{x}{x ^{5}})

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

2 ln (2 x)

lo g_{3} (\frac{3}{y})

lo g_{10} (10000 x)

lo g_{10} ((ab)^{2})

What is log_{6}(sqrt(x))-log_{6}(x^5) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^5) is log_{6}((sqrt(x))/(x^5))