What is log_{3}(u^2)-log_{3}(v) ?

The solution to log_{3}(u^2)-log_{3}(v) is log_{3}((u^2)/v)

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simplify log_{3}(u^2)-log_{3}(v)

simplify

lo g_{3} (u^{2}) - lo g_{3} (v)

lo g_{3} (\frac{u ^{2}}{v})

Solution steps

lo g_{3} (u^{2}) - lo g_{3} (v)

Apply log rule:

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

lo g_{3} (u^{2}) - lo g_{3} (v) = lo g_{3} (\frac{u ^{2}}{v})

= lo g_{3} (\frac{u ^{2}}{v})

lo g_{2} ((\frac{b}{c})^{4})

lo g_{t} (X \cdot Y)

ln (x^{4}) - ln (x^{16})

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

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