What is log_{9}(4)+log_{9}(5) ?

The solution to log_{9}(4)+log_{9}(5) is log_{9}(20)

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simplify log_{9}(4)+log_{9}(5)

simplify

lo g_{9} (4) + lo g_{9} (5)

lo g_{9} (20)

Decimal Notation

1.36341 \dots

Solution steps

lo g_{9} (4) + lo g_{9} (5)

Apply log rule:

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

lo g_{9} (4) + lo g_{9} (5) = lo g_{9} (4 \cdot 5)

= lo g_{9} (4 \cdot 5)

Multiply the numbers:

4 \cdot 5 = 20

= lo g_{9} (20)

lo g_{3} (y) + lo g_{3} (y + 4)

lo g_{9} (x y)

\frac{1}{3} (lo g_{4} (x) - lo g_{4} (y))

ln (x e^{- 2 x})

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

What is log_{9}(4)+log_{9}(5) ?
The solution to log_{9}(4)+log_{9}(5) is log_{9}(20)