What is log_{2}(0.05)+log_{2}(0.9) ?

The solution to log_{2}(0.05)+log_{2}(0.9) is log_{2}(0.045)

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simplify log_{2}(0.05)+log_{2}(0.9)

simplify

lo g_{2} (0.05) + lo g_{2} (0.9)

lo g_{2} (0.045)

Decimal Notation

- 4.47393 \dots

Solution steps

lo g_{2} (0.05) + lo g_{2} (0.9)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (0.05) + lo g_{2} (0.9) = lo g_{2} (0.05 \cdot 0.9)

= lo g_{2} (0.05 \cdot 0.9)

Multiply the numbers:

0.05 \cdot 0.9 = 0.045

= lo g_{2} (0.045)

1 + \frac{1}{50000 ln ( 5 )}

ln (\frac{1 0 ^{2}}{8 ^{2}})

2.06 \cdot ln (\frac{2}{1})

ln (0.6 \cdot π)

ln (\frac{- 2.25 \cdot 1 0 ^{30}}{2.4 \cdot 1 0 ^{13}})

What is log_{2}(0.05)+log_{2}(0.9) ?
The solution to log_{2}(0.05)+log_{2}(0.9) is log_{2}(0.045)