What is log_{2}(5)+log_{2}(9) ?

The solution to log_{2}(5)+log_{2}(9) is log_{2}(45)

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simplify log_{2}(5)+log_{2}(9)

simplify

lo g_{2} (5) + lo g_{2} (9)

lo g_{2} (45)

Decimal Notation

5.49185 \dots

Solution steps

lo g_{2} (5) + lo g_{2} (9)

Apply log rule:

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

lo g_{2} (5) + lo g_{2} (9) = lo g_{2} (5 \cdot 9)

= lo g_{2} (5 \cdot 9)

Multiply the numbers:

5 \cdot 9 = 45

= lo g_{2} (45)

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

\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})

What is log_{2}(5)+log_{2}(9) ?
The solution to log_{2}(5)+log_{2}(9) is log_{2}(45)