What is log_{2}(3)+log_{2}(7) ?

The solution to log_{2}(3)+log_{2}(7) is log_{2}(21)

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simplify log_{2}(3)+log_{2}(7)

simplify

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

lo g_{2} (21)

Decimal Notation

4.39231 \dots

Solution steps

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

Apply log rule:

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

lo g_{2} (3) + lo g_{2} (7) = lo g_{2} (3 \cdot 7)

= lo g_{2} (3 \cdot 7)

Multiply the numbers:

3 \cdot 7 = 21

= lo g_{2} (21)

lo g_{2} (10) + lo g_{2} (5)

lo g_{3} (2 x y)

lo g_{10} (\frac{1000 a ^{2}}{c})

3 lo g_{10} (9) + 1 lo g_{10} (x)

ln (5) + \frac{1}{2} ln (x + 1) - 2 ln (1 + x)

What is log_{2}(3)+log_{2}(7) ?
The solution to log_{2}(3)+log_{2}(7) is log_{2}(21)