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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (6 x) - lo g_{4} (10)

5 lo g_{b} (x^{2}) + lo g_{b} (x)

lo g_{4} (9^{3})

lo g_{10} (\frac{x y ^{4}}{z ^{5}})

lo g_{10} (\frac{p ^{3} + q}{1000})

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