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

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

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simplify log_{2}((sqrt(x))/(a^2))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{2} (a^{2}) : 2 lo g_{2} (a)

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

3 lo g_{3} (5) - lo g_{3} (4)

\frac{7}{5} ln^{\frac{5}{7}} (\frac{1}{2})

ln (e (x - 6))

- \frac{1}{4} lo g_{2} (\frac{1}{4}) + (- \frac{3}{4} lo g_{2} (\frac{3}{4}))

lo g_{x} (x^{3} y) - lo g_{x} (x y)

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