What is log_{2}(5)+log_{2}(11) ?

The solution to log_{2}(5)+log_{2}(11) is log_{2}(55)

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simplify log_{2}(5)+log_{2}(11)

simplify

lo g_{2} (5) + lo g_{2} (11)

lo g_{2} (55)

Decimal Notation

5.78135 \dots

Solution steps

lo g_{2} (5) + lo g_{2} (11)

Apply log rule:

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

lo g_{2} (5) + lo g_{2} (11) = lo g_{2} (5 \cdot 11)

= lo g_{2} (5 \cdot 11)

Multiply the numbers:

5 \cdot 11 = 55

= lo g_{2} (55)

ln (e^{x} y)

ln (\frac{1}{27})

- \frac{1}{4} ln (2)

lo g_{2} (6) + lo g_{2} (x)

ln (\frac{1}{25})

What is log_{2}(5)+log_{2}(11) ?
The solution to log_{2}(5)+log_{2}(11) is log_{2}(55)