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

The solution to log_{2}(6)+log_{2}(x) is 1+log_{2}(3x)

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

simplify

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

1 + lo g_{2} (3 x)

Solution steps

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

lo g_{2} (6) = 1 + lo g_{2} (3)

= 1 + lo g_{2} (3) + lo g_{2} (x)

Apply log rule:

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

lo g_{2} (3) + lo g_{2} (x) = lo g_{2} (3 x)

= 1 + lo g_{2} (3 x)

ln (\frac{1}{25})

x^{2} + x + 1 - 2 lo g_{10} (x) + 3 lo g_{10} (x + 1)

10 lo g_{10} (\frac{s}{1 0 ^{- 12}})

ln (\frac{22}{3})

- lo g_{10} (4.2 \cdot 1 0^{- 3})

What is log_{2}(6)+log_{2}(x) ?
The solution to log_{2}(6)+log_{2}(x) is 1+log_{2}(3x)