What is log_{10}(xyz) ?

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

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simplify log_{10}(xyz)

simplify

lo g_{10} (x yz)

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

Solution steps

lo g_{10} (x yz)

Apply log rule:

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

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

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

ln (\frac{1}{2} x)

5 ln (x) - \frac{5}{3} ln (y) - 6 ln (w^{2}) + 9 ln (z)

lo g_{5} (3 x)

\frac{1}{2} lo g_{10} (a) + 3 lo g_{10} (b)

lo g_{3} (x + 1) - lo g_{3} (x^{2} - 1)

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