What is log_{9}(5)+log_{9}(7) ?

The solution to log_{9}(5)+log_{9}(7) is log_{9}(35)

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simplify log_{9}(5)+log_{9}(7)

simplify

lo g_{9} (5) + lo g_{9} (7)

lo g_{9} (35)

Decimal Notation

1.61810 \dots

Solution steps

lo g_{9} (5) + lo g_{9} (7)

Apply log rule:

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

lo g_{9} (5) + lo g_{9} (7) = lo g_{9} (5 \cdot 7)

= lo g_{9} (5 \cdot 7)

Multiply the numbers:

5 \cdot 7 = 35

= lo g_{9} (35)

\frac{1}{3} lo g_{b} (x) + 5 lo g_{b} (y) - 2 lo g_{b} (x)

ln (\frac{9 + 61}{10})

lo g_{10} (100 a)

ln (3) \frac{1}{7}

\frac{2}{3} lo g_{10} (27) + lo g_{10} (x) + lo g_{10} (x)

What is log_{9}(5)+log_{9}(7) ?
The solution to log_{9}(5)+log_{9}(7) is log_{9}(35)