What is log_{12}(9)+log_{12}(14) ?

The solution to log_{12}(9)+log_{12}(14) is log_{12}(126)

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simplify log_{12}(9)+log_{12}(14)

simplify

lo g_{12} (9) + lo g_{12} (14)

lo g_{12} (126)

Decimal Notation

1.94626 \dots

Solution steps

lo g_{12} (9) + lo g_{12} (14)

Apply log rule:

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

lo g_{12} (9) + lo g_{12} (14) = lo g_{12} (9 \cdot 14)

= lo g_{12} (9 \cdot 14)

Multiply the numbers:

9 \cdot 14 = 126

= lo g_{12} (126)

2 lo g_{b} (6) - lo g_{b} (4)

2 lo g_{6} (x) - 2 lo g_{6} (y)

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

What is log_{12}(9)+log_{12}(14) ?
The solution to log_{12}(9)+log_{12}(14) is log_{12}(126)