What is log_{10}(x)+log_{10}(y)+3log_{10}(z) ?

The solution to log_{10}(x)+log_{10}(y)+3log_{10}(z) is log_{10}(xy)+3log_{10}(z)

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simplify log_{10}(x)+log_{10}(y)+3log_{10}(z)

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (x) + lo g_{10} (y) = lo g_{10} (x y)

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

lo g_{b} (\frac{1}{10}) + lo g_{b} (40)

lo g_{2} (\frac{8}{x + 5})

lo g_{10} (x (x^{2} + 8)^{- \frac{1}{2}})

4 lo g_{10} (2) + lo g_{10} (6) - lo g_{10} (3)

lo g_{4} (\frac{x ^{\frac{7}{2}} y ^{2}}{3 ^{5}})

What is log_{10}(x)+log_{10}(y)+3log_{10}(z) ?
The solution to log_{10}(x)+log_{10}(y)+3log_{10}(z) is log_{10}(xy)+3log_{10}(z)