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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{ln ( - 88 ) - ln ( - 3 )}{5}

- lo g_{10} (x) - lo g_{10} (0.0304 x)

\frac{1}{5} ln (\frac{59}{74})

ln (\frac{0.03}{0.02})

1.005 \cdot ln (\frac{500}{1400}) - 0.287 ln (\frac{500}{2000})

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