What is log_{2}(x+5)-log_{2}(x-2) ?

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

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simplify log_{2}(x+5)-log_{2}(x-2)

simplify

lo g_{2} (x + 5) - lo g_{2} (x - 2)

lo g_{2} (\frac{x + 5}{x - 2})

Solution steps

lo g_{2} (x + 5) - lo g_{2} (x - 2)

Apply log rule:

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

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

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

lo g_{6} (\frac{1}{6} m n^{2})

ln (\frac{e ^{2}}{10})

lo g_{a} (8) + lo g_{a} (5)

\frac{2 ln ( 2 )}{ln ( \frac{2}{3} )}

lo g_{3} (7) + lo g_{3} (12) - lo g_{3} (4)

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