What is log_{2}((sqrt(x))/(y^3)) ?

The solution to log_{2}((sqrt(x))/(y^3)) is log_{2}(sqrt(x))-3log_{2}(y)

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simplify log_{2}((sqrt(x))/(y^3))

simplify

lo g_{2} (\frac{x}{y ^{3}})

lo g_{2} (x) - 3 lo g_{2} (y)

Solution steps

lo g_{2} (\frac{x}{y ^{3}})

Apply log rule:

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

lo g_{2} (\frac{x}{y ^{3}}) = lo g_{2} (x) - lo g_{2} (y^{3})

= lo g_{2} (x) - lo g_{2} (y^{3})

Simplify

lo g_{2} (y^{3}) : 3 lo g_{2} (y)

= lo g_{2} (x) - 3 lo g_{2} (y)

- lo g_{10} (4.5 \cdot 1 0^{- 3})

- lo g_{10} (6.88 \cdot 1 0^{- 4})

lo g_{2} (\frac{a ^{2} - 4}{9})

ln (\frac{x}{x ^{2} + 3})

lo g_{10} (\frac{b c}{a})

What is log_{2}((sqrt(x))/(y^3)) ?
The solution to log_{2}((sqrt(x))/(y^3)) is log_{2}(sqrt(x))-3log_{2}(y)