What is log_{3}(sqrt(x))-log_{3}(x^9) ?

The solution to log_{3}(sqrt(x))-log_{3}(x^9) is log_{3}((sqrt(x))/(x^9))

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simplify log_{3}(sqrt(x))-log_{3}(x^9)

simplify

lo g_{3} (x) - lo g_{3} (x^{9})

lo g_{3} (\frac{x}{x ^{9}})

Solution steps

lo g_{3} (x) - lo g_{3} (x^{9})

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^{9}) = lo g_{3} (\frac{x}{x ^{9}})

= lo g_{3} (\frac{x}{x ^{9}})

192 ln (\frac{192}{762}) - 192 + 763

lo g_{10} (\frac{y ^{8}}{z})

lo g_{13} (\frac{13}{y})

lo g_{4} (21) - lo g_{4} (3)

lo g_{8} (a^{6} b^{5})

What is log_{3}(sqrt(x))-log_{3}(x^9) ?
The solution to log_{3}(sqrt(x))-log_{3}(x^9) is log_{3}((sqrt(x))/(x^9))