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CAPITULO XXXVIII

Logaritmos
Ejercicio 302
Hallar el número de términos de las progresiones:
  1. ÷ ÷ 3 :6:………:48 Sea: u=48 a=3 r=2 n = loguloga logr +1 n = log48log3 log2 +1 n = 1.6812412370.4771212547 0.3010299957 +1 n =4+1 n =5
  2. ÷ ÷ 2 :3:………: 243 16 Sea: u= 243 16 a=2 r= 3 2 n= loguloga logr +1 n= log 243 16 log2 log 3 2 +1 n= log243log16log2 log3log2 +1 n= 2.3856062741.2041199830.3010299957 0.47712125471.204119983 +1 n=5+1 n=6
  3. ÷ ÷ 4 :8:………:512 Sea: u=512 a=4 r=2 n = loguloga logr +1 n = log512log4 log2 +1 n = 2.7092699610.6020599913 0.3010299957 +1 n =7+1 n =8
  4. ÷ ÷ 6 :8:………: 2048 81 Sea: u= 2048 81 a=6 r= 4 3 n= loguloga logr +1 n= log( 2048 81 ) log6 log( 4 3 ) +1 n= log2048log81log6 log4log3 +1 n= 3.3113299521.9084850190.7781512504 0.60205999130.4771212547 +1 n=5+1 n=6
  5. ÷ ÷ 2 :5:………: 625 8 Sea: u= 625 8 a=2 r= 5 2 n= loguloga logr +1 n= log( 625 8 ) log2 log( 5 2 ) +1 n= log625log8log2 log5log2 +1 n= 2.7958800170.9030899870.3010299957 0.69897000430.3010299957 +1 n=4+1 n=5