What is log_{2}(sqrt(x))-log_{2}(x^6) ?

The solution to log_{2}(sqrt(x))-log_{2}(x^6) is log_{2}((sqrt(x))/(x^6))

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simplify log_{2}(sqrt(x))-log_{2}(x^6)

simplify

lo g_{2} (x) - lo g_{2} (x^{6})

lo g_{2} (\frac{x}{x ^{6}})

Solution steps

lo g_{2} (x) - lo g_{2} (x^{6})

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^{6}) = lo g_{2} (\frac{x}{x ^{6}})

= lo g_{2} (\frac{x}{x ^{6}})

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

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

What is log_{2}(sqrt(x))-log_{2}(x^6) ?
The solution to log_{2}(sqrt(x))-log_{2}(x^6) is log_{2}((sqrt(x))/(x^6))