What is log_{6}(sqrt(x))-log_{6}(x^8) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^8) is log_{6}((sqrt(x))/(x^8))

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simplify log_{6}(sqrt(x))-log_{6}(x^8)

simplify

lo g_{6} (x) - lo g_{6} (x^{8})

lo g_{6} (\frac{x}{x ^{8}})

Solution steps

lo g_{6} (x) - lo g_{6} (x^{8})

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^{8}) = lo g_{6} (\frac{x}{x ^{8}})

= lo g_{6} (\frac{x}{x ^{8}})

3 lo g_{3} (a) + 2 lo g_{3} (3) - lo g_{3} (c)

lo g_{2} (a) - lo g_{2} (b) - lo g_{2} (c)

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

lo g_{a} (2) + lo g_{a} (3)

2 ln (2) + 3 ln (x) - 12 ln (x + 5)

What is log_{6}(sqrt(x))-log_{6}(x^8) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^8) is log_{6}((sqrt(x))/(x^8))