What is log_{y}(3abc) ?

The solution to log_{y}(3abc) is log_{y}(3)+log_{y}(a)+log_{y}(b)+log_{y}(c)

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simplify log_{y}(3abc)

simplify

lo g_{y} (3 ab c)

lo g_{y} (3) + lo g_{y} (a) + lo g_{y} (b) + lo g_{y} (c)

Solution steps

lo g_{y} (3 ab c)

Apply log rule:

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

lo g_{y} (3 ab c) = lo g_{y} (3) + lo g_{y} (a) + lo g_{y} (b) + lo g_{y} (c)

= lo g_{y} (3) + lo g_{y} (a) + lo g_{y} (b) + lo g_{y} (c)

lo g_{10} (\frac{b ^{3}}{a})

lo g_{10} (m^{n}) - lo g_{10} (p^{q})

- 3 lo g_{5} (\frac{1}{x}) + \frac{1}{2} lo g_{5} (x)

\frac{1}{2} lo g_{7} (x) - lo g_{7} (x + 1)

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

What is log_{y}(3abc) ?
The solution to log_{y}(3abc) is log_{y}(3)+log_{y}(a)+log_{y}(b)+log_{y}(c)