What is log_{6}(sqrt(x))-log_{6}(x^7) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^7) is log_{6}((sqrt(x))/(x^7))

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simplify log_{6}(sqrt(x))-log_{6}(x^7)

simplify

lo g_{6} (x) - lo g_{6} (x^{7})

lo g_{6} (\frac{x}{x ^{7}})

Solution steps

lo g_{6} (x) - lo g_{6} (x^{7})

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^{7}) = lo g_{6} (\frac{x}{x ^{7}})

= lo g_{6} (\frac{x}{x ^{7}})

lo g_{10} (\frac{4 ( x + 6 ) ^{5}}{x ^{3}})

lo g_{b} (\frac{x ^{2} y}{z ^{2}})

lo g_{5} (\frac{g}{125})

lo g_{10} (\frac{x}{y ^{6}})

lo g_{b} (\frac{64}{x + 1})

What is log_{6}(sqrt(x))-log_{6}(x^7) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^7) is log_{6}((sqrt(x))/(x^7))