What is log_{6}(sqrt(x))-log_{6}(x^3) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^3) is log_{6}((sqrt(x))/(x^3))

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simplify log_{6}(sqrt(x))-log_{6}(x^3)

simplify

lo g_{6} (x) - lo g_{6} (x^{3})

lo g_{6} (\frac{x}{x ^{3}})

Solution steps

lo g_{6} (x) - lo g_{6} (x^{3})

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^{3}) = lo g_{6} (\frac{x}{x ^{3}})

= lo g_{6} (\frac{x}{x ^{3}})

lo g_{b} (9) + lo g_{b} (8)

ln (5) + 3 ln (x) + 4 ln (x^{2} + 4)

ln (\frac{0.75}{0.25})

ln (\frac{3 r ^{2}}{r - 8})

2 ln (2) + 4 ln (x) - \frac{1}{2} ln (x + 9)

What is log_{6}(sqrt(x))-log_{6}(x^3) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^3) is log_{6}((sqrt(x))/(x^3))