What is log_{6}(x)+log_{6}(y)+6log_{6}(z) ?

The solution to log_{6}(x)+log_{6}(y)+6log_{6}(z) is log_{6}(xy)+6log_{6}(z)

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simplify log_{6}(x)+log_{6}(y)+6log_{6}(z)

simplify

lo g_{6} (x) + lo g_{6} (y) + 6 lo g_{6} (z)

lo g_{6} (x y) + 6 lo g_{6} (z)

Solution steps

lo g_{6} (x) + lo g_{6} (y) + 6 lo g_{6} (z)

Apply log rule:

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

lo g_{6} (x) + lo g_{6} (y) = lo g_{6} (x y)

= lo g_{6} (x y) + 6 lo g_{6} (z)

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

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

lo g_{3} (x - 4) + lo g_{3} (x + 4)

lo g_{10} (z y^{6})

2 lo g_{10} (3 x) - lo g_{10} (x + 1) - 3 lo g_{10} (x)

What is log_{6}(x)+log_{6}(y)+6log_{6}(z) ?
The solution to log_{6}(x)+log_{6}(y)+6log_{6}(z) is log_{6}(xy)+6log_{6}(z)