Guía 2 logaritmo

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Guía 2 logaritmo

  1. 1. EJERCICIOS DE LOGARITMOSPropiedades de los logaritmos:1) log ( ab) = log a + log b2) log ( a/b) = log a - log b3) log a n = nlog a4) log n a = 1 log a n5) loga a = 1 logcb6) loga b = logc aCalcula:1 ) log 2 8 = R: 32 ) log 3 9 = R: 23 ) log 4 2 = R : 0,5 14 ) log 27 3 = R: 35 ) log 5 0,2 = R: −16 ) log 2 0,25 = R: −27 ) log 0,5 16 = R: −4
  2. 2. 8 ) log 0,1 100 = R: −29 ) log 3 27 + log 3 1 = R: 310 ) log 5 25 − log 5 5 = R: 111 ) log 4 64 + log 8 64 = R: 512 ) log 0,1 − log 0,01 = R: 113 ) log 5 + log 20 = R: 214 ) log 2 − log 0,2 = R: 1 log 3215 ) = R: 5 log 2 log 316 ) = R : 0,25 log 8117 ) log 2 3 × log 3 4 = R: 218 ) log 9 25 ÷ log 3 5 = R: 1
  3. 3. Determina el valor de x en:1 ) log 3 81 = x R: 42 ) log 5 0,2 = x R: −1 2x – 13 ) log 4 64 = R: 5 3 x34 ) log 2 16 = R: 2 2 15 ) log 2 x = − 3 R: 86 ) log 7 x = 3 R : 3437 ) log 6 [ 4 ( x − 1 ) ] = 2 R : 10
  4. 4. 8 ) log 8 [ 2 ( x 3 + 5 ) ] = 2 R: 39 ) log x 125 = 3 R: 5 110 ) log x 25 = − 2 R: 511 ) log 2 x + 3 81 = 2 R: 312 ) x + 2 = 10 log 5 R: 313 ) x = 10 4 log 2 R : 16
  5. 5. log 814 ) x = R: 3 log 2 log 625 415 ) x = R: log 125 3 log ( x + 1 )16 ) = 2 R: 3 log ( x – 1 ) log ( x – 7 )17 ) = 0,5 R : 10 log ( x – 1 )
  6. 6. Si log 2 = 0,301 , log 3 = 0,477 y log 7 = 0,845 , entonces:1 ) log 8 = R : 0,9032 ) log 9 = R : 0,9543 ) log 5 = R : 0,6994 ) log 54 = R : 1,7325 ) log 75 = R : 1,8756 ) log 0,25 = R : − 0,602  1 7 ) log   = R : − 0,778  6   1   98  =8 ) log   R : − 1,991    1   36  =9 ) log   R : − 1,556    2 10 ) log   = R : − 0,176  3 11 ) log 0,3 = R : − 0,52312 ) log 1,25 = R : 0,097

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