What is log_{2}(5)+log_{2}(6) ?

The solution to log_{2}(5)+log_{2}(6) is log_{2}(30)

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simplify log_{2}(5)+log_{2}(6)

simplify

lo g_{2} (5) + lo g_{2} (6)

lo g_{2} (30)

Decimal Notation

4.90689 \dots

Solution steps

lo g_{2} (5) + lo g_{2} (6)

Apply log rule:

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

lo g_{2} (5) + lo g_{2} (6) = lo g_{2} (5 \cdot 6)

= lo g_{2} (5 \cdot 6)

Multiply the numbers:

5 \cdot 6 = 30

= lo g_{2} (30)

lo g_{b} (\frac{1.792}{1.946})

\frac{1}{4} lo g_{5} (16) + \frac{1}{5} lo g_{5} (243)

4 ln (x) + 6 ln (y) - 3 ln (z)

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

lo g_{10} (10) + 2 lo g_{10} (3) + lo g_{10} (7)

What is log_{2}(5)+log_{2}(6) ?
The solution to log_{2}(5)+log_{2}(6) is log_{2}(30)