What is log_{3}(sqrt(x))-log_{3}(x^7) ?

The solution to log_{3}(sqrt(x))-log_{3}(x^7) is log_{3}((sqrt(x))/(x^7))

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simplify log_{3}(sqrt(x))-log_{3}(x^7)

simplify

lo g_{3} (x) - lo g_{3} (x^{7})

lo g_{3} (\frac{x}{x ^{7}})

Solution steps

lo g_{3} (x) - lo g_{3} (x^{7})

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^{7}) = lo g_{3} (\frac{x}{x ^{7}})

= lo g_{3} (\frac{x}{x ^{7}})

lo g_{10} (\frac{z ^{5}}{x ^{3} y})

lo g_{2} (A B^{2})

lo g_{4} (\frac{256}{y})

2 lo g_{10} (3) + 4 lo g_{10} (2)

ln (\frac{1}{2 - x})

What is log_{3}(sqrt(x))-log_{3}(x^7) ?
The solution to log_{3}(sqrt(x))-log_{3}(x^7) is log_{3}((sqrt(x))/(x^7))