What is log_{10}((11x^3y)/(z+1)) ?

The solution to log_{10}((11x^3y)/(z+1)) is log_{10}(11)+3log_{10}(x)+log_{10}(y)-log_{10}(z+1)

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simplify log_{10}((11x^3y)/(z+1))

simplify

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

lo g_{10} (11) + 3 lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z + 1)

Solution steps

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

Apply log rule:

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

lo g_{10} (\frac{11 x ^{3} y}{z + 1}) = lo g_{10} (11 x^{3} y) - lo g_{10} (z + 1)

= lo g_{10} (11 x^{3} y) - lo g_{10} (z + 1)

Simplify

lo g_{10} (11 x^{3} y) : lo g_{10} (11) + 3 lo g_{10} (x) + lo g_{10} (y)

= lo g_{10} (11) + 3 lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z + 1)

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

lo g_{6} (x y)

ln (\frac{4}{9})

ln (x + 2) - ln (x + 1)

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

What is log_{10}((11x^3y)/(z+1)) ?
The solution to log_{10}((11x^3y)/(z+1)) is log_{10}(11)+3log_{10}(x)+log_{10}(y)-log_{10}(z+1)