What is log_{2}(6)+log_{2}(12) ?

The solution to log_{2}(6)+log_{2}(12) is log_{2}(72)

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simplify log_{2}(6)+log_{2}(12)

simplify

lo g_{2} (6) + lo g_{2} (12)

lo g_{2} (72)

Decimal Notation

6.16992 \dots

Solution steps

lo g_{2} (6) + lo g_{2} (12)

Apply log rule:

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

lo g_{2} (6) + lo g_{2} (12) = lo g_{2} (6 \cdot 12)

= lo g_{2} (6 \cdot 12)

Multiply the numbers:

6 \cdot 12 = 72

= lo g_{2} (72)

lo g_{10} (\frac{x}{y ^{9} z ^{5}})

lo g_{4} (11) - lo g_{4} (9)

4 ln (3 x) - ln (9 x)

lo g_{10} (z \cdot w x \cdot y)

4 lo g_{5} (x) - lo g_{5} (125)

What is log_{2}(6)+log_{2}(12) ?
The solution to log_{2}(6)+log_{2}(12) is log_{2}(72)