What is log_{2}(sqrt(x))-log_{2}(x^5) ?

The solution to log_{2}(sqrt(x))-log_{2}(x^5) is log_{2}((sqrt(x))/(x^5))

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simplify log_{2}(sqrt(x))-log_{2}(x^5)

simplify

lo g_{2} (x) - lo g_{2} (x^{5})

lo g_{2} (\frac{x}{x ^{5}})

Solution steps

lo g_{2} (x) - lo g_{2} (x^{5})

Apply log rule:

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

lo g_{2} (x) - lo g_{2} (x^{5}) = lo g_{2} (\frac{x}{x ^{5}})

= lo g_{2} (\frac{x}{x ^{5}})

\frac{1}{2} lo g_{a} (x)

lo g_{3} (\frac{x y ^{2}}{z ^{3}})

3 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

lo g_{10} (2 A)

ln (x + 1) + ln (x - 1) - 2 ln (x^{2} + 3)

What is log_{2}(sqrt(x))-log_{2}(x^5) ?
The solution to log_{2}(sqrt(x))-log_{2}(x^5) is log_{2}((sqrt(x))/(x^5))