What is log_{10}(a*b*c) ?

The solution to log_{10}(a*b*c) is log_{10}(a)+log_{10}(b)+log_{10}(c)

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simplify log_{10}(abc)

simplify

lo g_{10} (a \cdot b \cdot c)

lo g_{10} (a) + lo g_{10} (b) + lo g_{10} (c)

Solution steps

lo g_{10} (ab c)

Apply log rule:

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

lo g_{10} (ab c) = lo g_{10} (a) + lo g_{10} (b) + lo g_{10} (c)

= lo g_{10} (a) + lo g_{10} (b) + lo g_{10} (c)

lo g_{10} ((x^{2} + y^{4})^{3})

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

ln (x^{2} + 1) - ln (x^{2} - 1)

lo g_{3} (10 x) - lo g_{3} (2)

2 lo g_{3} (r) + lo g_{3} (s)

What is log_{10}(a*b*c) ?
The solution to log_{10}(a*b*c) is log_{10}(a)+log_{10}(b)+log_{10}(c)