What is log_{9}(7)+log_{9}(4) ?

The solution to log_{9}(7)+log_{9}(4) is log_{9}(28)

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simplify log_{9}(7)+log_{9}(4)

simplify

lo g_{9} (7) + lo g_{9} (4)

lo g_{9} (28)

Decimal Notation

1.51655 \dots

Solution steps

lo g_{9} (7) + lo g_{9} (4)

Apply log rule:

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

lo g_{9} (7) + lo g_{9} (4) = lo g_{9} (7 \cdot 4)

= lo g_{9} (7 \cdot 4)

Multiply the numbers:

7 \cdot 4 = 28

= lo g_{9} (28)

- 20 lo g_{4} (x) - 80 lo g_{4} (y)

\frac{1}{3} lo g_{3} (8) - lo g_{3} (10) + 4 lo g_{3} (2)

lo g_{10} (2.5) + 0.4 lo g_{10} (x)

ln (\frac{30}{130})

lo g_{10} (m \cdot (\frac{p}{q}))

What is log_{9}(7)+log_{9}(4) ?
The solution to log_{9}(7)+log_{9}(4) is log_{9}(28)