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{1}{x ^{2} + 36})

ln (z) + ln (11 y)

2 ln (\frac{e}{y}) - ln (x^{4} y) + e^{- 3 l n (y)}

f (x) = 3 lo g_{10} (9) + 3 lo g_{10} (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))