What is 3log_{2}(x)-3log_{2}(y) ?

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

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simplify 3log_{2}(x)-3log_{2}(y)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

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

ln (2 y) - ln (y) - ln (1 - 2 y) - ln (1 - y)

100 ln (\frac{55}{52})

ln (\frac{6 x e ^{5}}{7 y e ^{2}})

0.0296 \cdot 46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30})}

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