What is log_{b}((x^2y)/(z^2)) ?

The solution to log_{b}((x^2y)/(z^2)) is 2log_{b}(x)+log_{b}(y)-2log_{b}(z)

Popular >

simplify log_{b}((x^2y)/(z^2))

simplify

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

2 lo g_{b} (x) + lo g_{b} (y) - 2 lo g_{b} (z)

Solution steps

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

Apply log rule:

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

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

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

lo g_{b} (x^{2} y) = 2 lo g_{b} (x) + lo g_{b} (y)

lo g_{b} (z^{2}) = 2 lo g_{b} (z)

= 2 lo g_{b} (x) + lo g_{b} (y) - 2 lo g_{b} (z)

ln (\frac{1 0 ^{- 4} x ^{- 2}}{x ^{5}})

ln (k) + 2 ln (7 r)

2 ln (x + 2) - ln (x + 2) - ln (2) - 3

ln (\frac{x ^{p} e ^{- y}}{z})

ln (x^{5} y^{3})

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