What is 3log_{2}(x)-12log_{2}(y) ?

The solution to 3log_{2}(x)-12log_{2}(y) is log_{2}((x^3)/(y^{12)})

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simplify 3log_{2}(x)-12log_{2}(y)

simplify

3 lo g_{2} (x) - 12 lo g_{2} (y)

lo g_{2} (\frac{x ^{3}}{y ^{12}})

Solution steps

3 lo g_{2} (x) - 12 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}) - 12 lo g_{2} (y)

Apply log rule:

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

12 lo g_{2} (y) = lo g_{2} (y^{12})

= lo g_{2} (x^{3}) - lo g_{2} (y^{12})

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^{12}) = lo g_{2} (\frac{x ^{3}}{y ^{12}})

= lo g_{2} (\frac{x ^{3}}{y ^{12}})

lo g_{e} (\frac{575}{500})

ln (\frac{5}{35})

ln (\frac{5}{7} e^{7 t})

ln (x + 2) + ln (y)

ln (\frac{10000 - 5041}{20164})

What is 3log_{2}(x)-12log_{2}(y) ?
The solution to 3log_{2}(x)-12log_{2}(y) is log_{2}((x^3)/(y^{12)})