What is 4log_{3}(x)-2log_{3}(y) ?

The solution to 4log_{3}(x)-2log_{3}(y) is log_{3}((x^4)/(y^2))

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simplify 4log_{3}(x)-2log_{3}(y)

simplify

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

lo g_{3} (\frac{x ^{4}}{y ^{2}})

Solution steps

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

Apply log rule:

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

4 lo g_{3} (x) = lo g_{3} (x^{4})

= lo g_{3} (x^{4}) - 2 lo g_{3} (y)

Apply log rule:

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

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

= lo g_{3} (x^{4}) - lo g_{3} (y^{2})

Apply log rule:

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

lo g_{3} (x^{4}) - lo g_{3} (y^{2}) = lo g_{3} (\frac{x ^{4}}{y ^{2}})

= lo g_{3} (\frac{x ^{4}}{y ^{2}})

lo g_{2} (4 x)

ln (96) - ln (6)

ln (- 2 e^{i z})

ln (5) - 3 ln (2) + ln (16)

lo g_{2} (6) + lo g_{2} (x) + lo g_{2} (y)

What is 4log_{3}(x)-2log_{3}(y) ?
The solution to 4log_{3}(x)-2log_{3}(y) is log_{3}((x^4)/(y^2))