Logaritmos
1
El logaritmo y sus propiedades Sea 0 <a, a =1y0 <x y = log a x sii, por definici´on, x = a y Sean 0 <a,0 <b, a = 1, b = 1, 0 <x,0 <y , m = 0, n = 0, 0 < mn, r =0 1. log b x = log a x log a b 2. log b a = 1 log a b 3. log b x log b y = log a x log a y 4. log a (xy ) = log a x + log a y 5. log a ( x y ) = log a x − log a y 6. log a x c = c log a x 7. log a d x c = c d log a x 8. log a (mn) = log a |m| + log a |n| 9. log a ( m n ) = log a |m|− log a |n| 10. log a m 2c =2c log a |m| 11. log r 2d m 2c = c d log |r| |m|
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Transcript of Logaritmos
El logaritmo y sus propiedades
Sea 0 < a, a 6= 1 y 0 < x
y = loga x sii, por definicion, x = ay
Sean 0 < a, 0 < b, a 6= 1, b 6= 1, 0 < x, 0 < y, m 6= 0, n 6= 0, 0 < mn, r 6= 0
1. logb x = loga x
loga b
2. logb a = 1
loga b
3. logb x
logb y= loga x
loga y
4. loga(xy) = loga x + loga y
5. loga(xy) = loga x − loga y
6. loga xc = c loga x
7. logad xc = cdloga x
8. loga(mn) = loga |m| + loga |n|
9. loga(mn) = loga |m| − loga |n|
10. loga m2c = 2c loga |m|
11. logr2d m2c = cdlog|r| |m|
