What is log_{2}(6)+log_{2}(7) ?

The solution to log_{2}(6)+log_{2}(7) is log_{2}(42)

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simplify log_{2}(6)+log_{2}(7)

simplify

lo g_{2} (6) + lo g_{2} (7)

lo g_{2} (42)

Decimal Notation

5.39231 \dots

Solution steps

lo g_{2} (6) + lo g_{2} (7)

Apply log rule:

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

lo g_{2} (6) + lo g_{2} (7) = lo g_{2} (6 \cdot 7)

= lo g_{2} (6 \cdot 7)

Multiply the numbers:

6 \cdot 7 = 42

= lo g_{2} (42)

lo g_{2} (6) + lo g_{2} (9)

- lo g_{10} (6.3 \times 1 0^{- 8})

lo g_{10} (4) + lo g_{10} (6)

ln ∣ 4 x + 1 ∣ - ln ∣ x + 1 ∣ + C

lo g_{10} (4) + lo g_{10} (9)

What is log_{2}(6)+log_{2}(7) ?
The solution to log_{2}(6)+log_{2}(7) is log_{2}(42)