What is log_{m}((x^3)/(y^2)) ?

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

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simplify log_{m}((x^3)/(y^2))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{π} (\frac{π ^{3} x ^{4} y ^{5} z}{( x - 1 ) ^{2} z})

ln (\frac{s}{s + 1})

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

lo g_{10} (\frac{x ^{2} - c ^{2}}{2}) - lo g_{10} (x - c)

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