What is log_{2}(sqrt(x))-log_{2}(x^4) ?

The solution to log_{2}(sqrt(x))-log_{2}(x^4) is log_{2}((sqrt(x))/(x^4))

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simplify log_{2}(sqrt(x))-log_{2}(x^4)

simplify

lo g_{2} (x) - lo g_{2} (x^{4})

lo g_{2} (\frac{x}{x ^{4}})

Solution steps

lo g_{2} (x) - lo g_{2} (x^{4})

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^{4}) = lo g_{2} (\frac{x}{x ^{4}})

= lo g_{2} (\frac{x}{x ^{4}})

ln (x a^{2 x} e^{x^{2}})

2 ln (x) - \frac{1}{3} ln (y)

lo g_{e} (\frac{3}{2})

lo g_{2} (\frac{c}{8})

lo g_{\frac{3}{2}} (9) + lo g_{\frac{3}{2}} (3) - lo g_{\frac{3}{2}} (8)

What is log_{2}(sqrt(x))-log_{2}(x^4) ?
The solution to log_{2}(sqrt(x))-log_{2}(x^4) is log_{2}((sqrt(x))/(x^4))