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

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

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

simplify

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

lo g_{2} (45)

Decimal Notation

5.49185 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

9 \cdot 5 = 45

= lo g_{2} (45)

lo g_{2} (x^{4} y^{3})

lo g_{b} (\frac{1}{8})

ln (yz)

lo g_{2} (\frac{s ^{9}}{5 t ^{2}})

lo g_{4} (y - 1) + lo g_{4} (\frac{x}{2})

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