What is log_{9}(8ab) ?

The solution to log_{9}(8ab) is 3log_{9}(2)+log_{9}(a)+log_{9}(b)

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simplify log_{9}(8ab)

simplify

lo g_{9} (8 ab)

3 lo g_{9} (2) + lo g_{9} (a) + lo g_{9} (b)

Solution steps

lo g_{9} (8 ab)

Apply log rule:

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

lo g_{9} (8 ab) = lo g_{9} (8) + lo g_{9} (a) + lo g_{9} (b)

= lo g_{9} (8) + lo g_{9} (a) + lo g_{9} (b)

lo g_{9} (8) = 3 lo g_{9} (2)

= 3 lo g_{9} (2) + lo g_{9} (a) + lo g_{9} (b)

ln (x (x + 9))

- lo g_{6} (3) + 2 lo g_{6} (3) + lo g_{6} (5)

ln (2 e) - ln (e)

\frac{1}{2} lo g_{10} (c) + 6 lo g_{10} (d)

What is log_{9}(8ab) ?
The solution to log_{9}(8ab) is 3log_{9}(2)+log_{9}(a)+log_{9}(b)