What is log_{9}(7)+log_{9}(10) ?

The solution to log_{9}(7)+log_{9}(10) is log_{9}(70)

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simplify log_{9}(7)+log_{9}(10)

simplify

lo g_{9} (7) + lo g_{9} (10)

lo g_{9} (70)

Decimal Notation

1.93357 \dots

Solution steps

lo g_{9} (7) + lo g_{9} (10)

Apply log rule:

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

lo g_{9} (7) + lo g_{9} (10) = lo g_{9} (7 \cdot 10)

= lo g_{9} (7 \cdot 10)

Multiply the numbers:

7 \cdot 10 = 70

= lo g_{9} (70)

\frac{3 ln ( 2 ) - 3 ln ( 3 )}{ln ( 24 )}

5 lo g_{b} (x) + 8 lo g_{b} (z)

ln (3 (1))

ln (\frac{e ^{7}}{5})

lo g_{w} (\frac{13 x}{2})

What is log_{9}(7)+log_{9}(10) ?
The solution to log_{9}(7)+log_{9}(10) is log_{9}(70)