taller de logaritmos
TRANSCRIPT
TALLER DE LOGARITMOS
1. Expresar en forma exponencial:
1 . log3 9= 2 2 . log6 36 = 2 3 . log214
=−2
4 . log3127
=−3 5. log16 8 = 34
6 . log 27 81 = 43
7 . log14
(18 ) =32
8 . log827
(49 ) =23
9. log916
(24332 )= 52
10 . loga13
a2 = 6 11. loga2a6 = 3 12 . log
a3a2 = 2
3
2. Expresar en forma logarítmica:
1 . 72 = 49 2 . 34 = 81 3 . 25 = 32
4 . 2512 = 5 5 . 16
14 = 2 6 . 27
23 = 9
7 . 2−4 = 116
8 . 3−2 = 19
9. (18 )−13 = 2
10 . (127 )−23 = 9 11. (916 )−
12 =43
12 . (1681 )−34= 27
8
3. Hallar los valores de los logaritmos siguientes:1 . log 64 2 . log4 16 3 . log2 644 . log225 15 5. log421 11 6 . log144 12
7 . log243 3 8 . logb6b4 9 . log
b35
b6
4. Hallar los valores de a y b en los ejercicios siguientes:1 . logb a = 3 2. log4 a = 4 3 . log2 b = 8
4 . loga 125 =3 5 . loga 27 = 3 6 . loga 9 =12
7 . logb 3 = 14
8 . logb 27= 34
9 . loga 16 = 45
5. Efectuar y expresar en forma más simple:
1 . log 2 − log3 +log 5
2 . 3 log 2− 4 log 3 + 12
(log 25 ) − 13
( log 64 ) + 23
(log 27 )
3 . log 32 + 3 log 24 −4 log 3√8 − 3 log 3√125 + log 3√7294 .12 ( log5 25 ) − 1
3 ( log2 64 ) + 23 ( log3 27 ) + log 7516 −2 log 59
+ log23243
5 . log10 13 + log10 7 + log10 2 −2 log10 3
6 . loga (x2+1 )12 + loga ( x+4 ) − (32 ) loga (x2−1 )
7 .12loga (2 x+1 ) + 3
4 [loga (3 x−1 ) ] − 12 [ loga (2x−1 ) ]