What is log_{2}(15)-log_{2}(3) ?

The solution to log_{2}(15)-log_{2}(3) is log_{2}(5)

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simplify log_{2}(15)-log_{2}(3)

simplify

lo g_{2} (15) - lo g_{2} (3)

lo g_{2} (5)

Decimal Notation

2.32192 \dots

Solution steps

lo g_{2} (15) - lo g_{2} (3)

Apply log rule:

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

lo g_{2} (15) - lo g_{2} (3) = lo g_{2} (\frac{15}{3})

= lo g_{2} (\frac{15}{3})

Divide the numbers:

\frac{15}{3} = 5

= lo g_{2} (5)

lo g_{10} (\frac{y ^{7}}{x})

lo g_{10} (\frac{x ^{3}}{z y ^{4}})

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

ln (14 x y)

6 x^{2} (x^{3} + 4) + ln (2 x) + 1

What is log_{2}(15)-log_{2}(3) ?
The solution to log_{2}(15)-log_{2}(3) is log_{2}(5)