What is log_{11}((x+y)*z) ?

The solution to log_{11}((x+y)*z) is log_{11}(x+y)+log_{11}(z)

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simplify log_{11}((x+y)*z)

simplify

lo g_{11} ((x + y) \cdot z)

lo g_{11} (x + y) + lo g_{11} (z)

Solution steps

lo g_{11} ((x + y) z)

Apply log rule:

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

lo g_{11} ((x + y) z) = lo g_{11} (x + y) + lo g_{11} (z)

= lo g_{11} (x + y) + lo g_{11} (z)

lo g_{2} (\frac{4}{x + 6})

lo g_{2} (n^{2} \cdot lo g_{2} (n))

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

- lo g_{10} (1.21 \cdot 1 0^{- 3})

ln ∣ 1 ∣ - \frac{3}{2} ln ∣ 5 ∣ + 2 ln ∣ 6 ∣ + C

What is log_{11}((x+y)*z) ?
The solution to log_{11}((x+y)*z) is log_{11}(x+y)+log_{11}(z)