What is log_{2}((x^3)/(y^6)) ?

The solution to log_{2}((x^3)/(y^6)) is 3log_{2}(x)-6log_{2}(y)

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simplify log_{2}((x^3)/(y^6))

simplify

lo g_{2} (\frac{x ^{3}}{y ^{6}})

3 lo g_{2} (x) - 6 lo g_{2} (y)

Solution steps

lo g_{2} (\frac{x ^{3}}{y ^{6}})

Apply log rule:

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

lo g_{2} (\frac{x ^{3}}{y ^{6}}) = lo g_{2} (x^{3}) - lo g_{2} (y^{6})

= lo g_{2} (x^{3}) - lo g_{2} (y^{6})

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

lo g_{2} (y^{6}) = 6 lo g_{2} (y)

= 3 lo g_{2} (x) - 6 lo g_{2} (y)

lo g_{10} (\frac{y}{10000})

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

\frac{2}{3} lo g_{a} (- 2 lo g_{b} (- \frac{1}{5} lo g_{c} (x)))

ln (2) - ln (10)

lo g_{10} (\frac{5}{x})

What is log_{2}((x^3)/(y^6)) ?
The solution to log_{2}((x^3)/(y^6)) is 3log_{2}(x)-6log_{2}(y)