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_{5} (2) + lo g_{5} (3)

- lo g_{10} (4.1 \times 1 0^{- 4})

ln (\frac{3 + 1}{3 - 1})

- lo g_{10} (2 \cdot 1 0^{- 10})

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))