Guia logartimo
Enviado por Ninoka • 4 de Enero de 2018 • 685 Palabras (3 Páginas) • 258 Visitas
...
16 ) log x ( 5 x – 6 ) = 2
x 2 = 5 x – 6
x 2 – 5 x + 6 = 0
( x – 2 ) ( x – 3 ) = 0
x 1 = 2
x 2 = 3
Si log ( 2 ) = a , log ( 3 ) = b y log ( 7 ) = c , entonces:
1 ) log ( 6 ) = log ( 2 × 3 ) = log ( 2 ) + log ( 3 ) = a + b
2 ) log ( 49 ) = log ( 7 2 ) = 2 log ( 7 ) = 2 c
3 ) log ( 5 ) = log ( 10 / 2 ) = log ( 10 ) – log ( 2 ) = 1 – a
4 ) log ( √ 2 ) = log ( 2 0,5 ) = 0,5 log ( 2 ) = 0,5 a
5 ) log ( 12 ) = log ( 2 2 × 3 ) = log ( 2 2 ) + log ( 3 ) = 2 log ( 2 ) + b = 2 a + b
6 ) log ( 700 ) = log ( 7 × 100 ) = log ( 7 ) + log ( 100 ) = c + 2
7 ) log ( 0,5 ) = log ( 2 – 1 ) = – log ( 2 ) = – a
8 ) log ( 3 / 7 ) = log ( 3 ) – log ( 7 ) = b – c
9 ) log ( 0,125 ) = log ( 2 – 3 ) = – 3 log ( 2 ) = – 3 a
...