What is 2+1/2 log_{2}(49)-log_{2}(21) ?

The solution to 2+1/2 log_{2}(49)-log_{2}(21) is 2-log_{2}(3)

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simplify 2+1/2 log_{2}(49)-log_{2}(21)

simplify

2 + \frac{1}{2} lo g_{2} (49) - lo g_{2} (21)

2 - lo g_{2} (3)

Decimal Notation

0.41503 \dots

Solution steps

2 + \frac{1}{2} lo g_{2} (49) - lo g_{2} (21)

\frac{1}{2} lo g_{2} (49) = lo g_{2} (7)

= 2 + lo g_{2} (7) - lo g_{2} (21)

lo g_{2} (7) - lo g_{2} (21) = - lo g_{2} (3)

= 2 - lo g_{2} (3)

ln (7) + ln (x) + ln (y)

lo g_{2} (\frac{3 x ^{2}}{( x - 1 ) ^{2}})

2 ln (3 x)

ln (\frac{x}{x ^{2} + 1})

\frac{1}{2} lo g_{10} (b) + 3 lo g_{10} (c)

What is 2+1/2 log_{2}(49)-log_{2}(21) ?
The solution to 2+1/2 log_{2}(49)-log_{2}(21) is 2-log_{2}(3)