What is log_{2}(7)-log_{2}(5) ?

The solution to log_{2}(7)-log_{2}(5) is log_{2}(7/5)

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simplify log_{2}(7)-log_{2}(5)

simplify

lo g_{2} (7) - lo g_{2} (5)

lo g_{2} (\frac{7}{5})

Decimal Notation

0.48542 \dots

Solution steps

lo g_{2} (7) - lo g_{2} (5)

Apply log rule:

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

lo g_{2} (7) - lo g_{2} (5) = lo g_{2} (\frac{7}{5})

= lo g_{2} (\frac{7}{5})

lo g_{2} (\frac{x ^{3} y}{5 z ^{6}})

lo g_{5} (\frac{25}{x + 9})

lo g_{10} (y) + 15 lo g_{10} (z)

ln (\frac{e ^{8}}{7})

\frac{ln ( x ^{3} - 1 ) - ln ( x ^{2} - x + 1 )}{ln ( x + 1 )}

What is log_{2}(7)-log_{2}(5) ?
The solution to log_{2}(7)-log_{2}(5) is log_{2}(7/5)