What is log_{2}(5)-log_{2}(3) ?

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

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simplify log_{2}(5)-log_{2}(3)

simplify

lo g_{2} (5) - lo g_{2} (3)

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

Decimal Notation

0.73696 \dots

Solution steps

lo g_{2} (5) - lo g_{2} (3)

Apply log rule:

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

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

= lo g_{2} (\frac{5}{3})

lo g_{4} (64 x)

ln (a x^{b})

lo g_{4} (x y)

3 lo g_{3} (x + 1) - 2 lo g_{3} (x) - lo g_{3} (x - 6)

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