What is log_{3}(13)+log_{3}(y) ?

The solution to log_{3}(13)+log_{3}(y) is log_{3}(13y)

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simplify log_{3}(13)+log_{3}(y)

simplify

lo g_{3} (13) + lo g_{3} (y)

lo g_{3} (13 y)

Solution steps

lo g_{3} (13) + lo g_{3} (y)

Apply log rule:

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

lo g_{3} (13) + lo g_{3} (y) = lo g_{3} (13 y)

= lo g_{3} (13 y)

\frac{1}{6} lo g_{2} (25) - \frac{1}{3} lo g_{2} (10)

lo g_{2} (165) - lo g_{2} (5)

4 ln (x) + 6 ln (y) - 2 ln (z)

ln (\frac{3 ^{x} 6 ^{3 x}}{2 ^{2 x}})

lo g_{3} (\frac{9}{x})

What is log_{3}(13)+log_{3}(y) ?
The solution to log_{3}(13)+log_{3}(y) is log_{3}(13y)