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EJERCICIOS DE LOGARITMOS
I ) Calcular :
1 ) log 2 8 = R : 3
2 ) log 3 9 = R : 2
3 ) log 4 2 = R : 0,5
4 ) log 27 3 = R : 1 / 3
5 ) log 5 0,2 = R : − 1
6 ) log 2 0,25 = R : − 2
7 ) log 0,5 16 = R : − 4
8 ) log 0,1 100 = R : − 2
9 ) log 3 27 + log 3 1 = R : 3
10 ) log 5 25 − log 5 5 = R : 1
11 ) log 4 64 + log 8 64 = R : 5
12 ) log 0,1 − log 0,01 = R : 1
13 ) log 5 + log 20 = R : 2
14 ) log 2 − log 0,2 = R : 1
15 ) log 32 / log 2 = R : 5
16 ) log 3 / log 81 = R : 0,25
17 ) log 2 3 × log 3 4 = R : 2
18 ) log 9 25 ÷ log 3 5 = R : 1
II ) Determinar el valor de x :
1 ) log 3 81 = x R : 4
2 ) log 5 0,2 = x R : − 1
3 ) log 4 64 = ( 2 x − 1 ) / 3 R : 5
4 ) log 2 16 = x 3 / 2 R : 2
5 ) log 2 x = − 3 R : 1 / 8
6 ) log 7 x = 3 R : 343
7 ) log 6 [ 4 ( x − 1 ) ] = 2 R : 10
8 ) log 8 [ 2 ( x 3 + 5 ) ] = 2 R : 3
9 ) log x 125 = 3 R : 5
10 ) log x 25 = − 2 R : 1 / 5
11 ) log 2 x + 3 81 = 2 R : 3
12 ) x + 2 = 10 log 5 R : 3
13 ) x = 10 4 log 2 R : 16
14 ) x = log 8 / log 2 R : 3
15 ) x = log 625 / log 125 R : 4 / 3
16 ) log ( x + 1 ) / log ( x − 1 ) = 2 R : 3
17 ) log ( x − 7 ) / log ( x − 1 ) = 0,5 R : 10
III ) Si log 2 = 0,301 , log 3 = 0,477 y log 7 = 0,845 , entonces :
1 ) log 8 = R : 0,903
2 ) log 9 = R : 0,954
3 ) log 5 = R : 0,699
4 ) log 54 = R : 1,732
5 ) log 75 = R : 1,875
6 ) log 0,25 = R : − 0,602
7 ) log ( 1 / 6 ) = R : − 0,778
8 ) log ( 1 / 98 ) = R : − 1,991
9 ) log ( 1 / 36 ) = R : − 1,556
10 ) log ( 2 / 3 ) = R : − 0,176
11 ) log 0,3 = R : − 0,523
12 ) log 1,25 = R : 0,097
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Enviado por: | Diego Gabriel |
Idioma: | castellano |
País: | Bolivia |