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

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

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

simplify

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

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

Solution steps

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

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

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

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

lo g_{10} (83 x y)

f (x) = lo g_{10} (x^{2} + 9 x + 8) - lo g_{10} (x^{2} - 64)

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

lo g_{10} (\frac{6 ( 5 + x ) ^{4}}{x ^{2}})

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