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

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

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

simplify

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

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

Decimal Notation

- 0.73696 \dots

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (\frac{( 3 x - 7 )}{( 2 x + 1 ) 5 x + 7})

2 lo g_{b} (3) + lo g_{b} (6)

lo g_{10} (\frac{x ^{5}}{2})

lo g_{x} (2 x)

ln (5 x^{2}) - ln (2 x^{2})

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