What is log_{2}(21)-log_{2}(7) ?

The solution to log_{2}(21)-log_{2}(7) is log_{2}(3)

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simplify log_{2}(21)-log_{2}(7)

simplify

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

lo g_{2} (3)

Decimal Notation

1.58496 \dots

Solution steps

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

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{2} (21) - lo g_{2} (7) = lo g_{2} (\frac{21}{7})

= lo g_{2} (\frac{21}{7})

Divide the numbers:

\frac{21}{7} = 3

= lo g_{2} (3)

ln (\frac{4 m ^{5}}{p})

\frac{3}{5} (- \frac{2}{3} lo g_{2} (\frac{2}{3}) - \frac{1}{3} lo g_{2} (\frac{1}{3}))

ln (\frac{9}{5})

ln (\frac{1 - x}{1 + x})

What is log_{2}(21)-log_{2}(7) ?
The solution to log_{2}(21)-log_{2}(7) is log_{2}(3)