What is log_{10}(31cd) ?

The solution to log_{10}(31cd) is log_{10}(31)+log_{10}(c)+log_{10}(d)

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simplify log_{10}(31cd)

simplify

lo g_{10} (31 c d)

lo g_{10} (31) + lo g_{10} (c) + lo g_{10} (d)

Solution steps

lo g_{10} (31 c d)

Apply log rule:

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

lo g_{10} (31 c d) = lo g_{10} (31) + lo g_{10} (c) + lo g_{10} (d)

= lo g_{10} (31) + lo g_{10} (c) + lo g_{10} (d)

2 lo g_{b} (m) - 3 lo g_{b} (n) - 3 lo g_{b} (p)

- ln ∣ v + 1 ∣ + ln ∣ v - 1 ∣ - \frac{1}{2} ln v^{2} - 1 + C

lo g_{a} (3^{2} 5)

lo g_{3} (H) - 2 lo g_{3} (S) + 5 lo g_{3} (B)

What is log_{10}(31cd) ?
The solution to log_{10}(31cd) is log_{10}(31)+log_{10}(c)+log_{10}(d)