What is log_{2}(5)+log_{2}(3) ?

The solution to log_{2}(5)+log_{2}(3) is log_{2}(15)

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simplify log_{2}(5)+log_{2}(3)

simplify

lo g_{2} (5) + lo g_{2} (3)

lo g_{2} (15)

Decimal Notation

3.90689 \dots

Solution steps

lo g_{2} (5) + lo g_{2} (3)

Apply log rule:

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

lo g_{2} (5) + lo g_{2} (3) = lo g_{2} (5 \cdot 3)

= lo g_{2} (5 \cdot 3)

Multiply the numbers:

5 \cdot 3 = 15

= lo g_{2} (15)

lo g_{b} (\frac{x ^{3} y}{z ^{4}})

lo g_{5} (\frac{625}{y})

ln (\frac{x}{y}) - 2 ln (x^{3}) - 4 ln (y)

ln (\frac{e ^{x l n (3)}}{3})

What is log_{2}(5)+log_{2}(3) ?
The solution to log_{2}(5)+log_{2}(3) is log_{2}(15)