What is log_{2}(56)+log_{2}(7) ?

The solution to log_{2}(56)+log_{2}(7) is log_{2}(392)

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simplify log_{2}(56)+log_{2}(7)

simplify

lo g_{2} (56) + lo g_{2} (7)

lo g_{2} (392)

Decimal Notation

8.61470 \dots

Solution steps

lo g_{2} (56) + lo g_{2} (7)

Apply log rule:

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

lo g_{2} (56) + lo g_{2} (7) = lo g_{2} (56 \cdot 7)

= lo g_{2} (56 \cdot 7)

Multiply the numbers:

56 \cdot 7 = 392

= lo g_{2} (392)

lo g_{b} (\frac{3}{4})

\frac{ln ( 11 ) + ln ( 4 ) - ln ( 2 )}{ln ( 4 ) - ln ( 11 )}

lo g_{10} (8) + lo g_{10} (x) - 2 lo g_{10} (x + 4)

lo g_{10} (2 x) + lo g_{10} (50 y)

lo g_{2} (x y)

What is log_{2}(56)+log_{2}(7) ?
The solution to log_{2}(56)+log_{2}(7) is log_{2}(392)