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

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

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

simplify

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

lo g_{2} (21)

Decimal Notation

4.39231 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

7 \cdot 3 = 21

= lo g_{2} (21)

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

9 ln (t) + ln (y) - ln (y + 1)

lo g_{3} (\frac{c}{9})

lo g_{2} (\frac{1}{3}) + lo g_{4} (9)

lo g_{10} (\frac{2 x}{1 + x ^{2}})

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