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CAPITULO XXXVIII

Logaritmos
Ejercicio 298
Hallar el valor de las siguientes expresiones por medio de logaritmos:
  1. 532 × 0.184 532 × 0.184 =log(532 × 0.184 ) =log532+log0.184 =2.7259116320.735182177 =1.99072955 =antilog1.99072955 =97.888
  2. 191.7 × 432 191.7 × 432 =log(191.7 × 432 ) =log191.7+log432 =2.282622113+2.635483747 =4.91810586 =antilog4.91810586 =82814.4
  3. 0.7 × 0.013 × 0.9 0.7 × 0.013 × 0.9 =log(0.7 × 0.013 × 0.9 ) =log0.7+log0.013+log0.9 =2.086716098 =antilog2.086716098 =8.19 × 1 0 3 =0.00819
  4. 7.5 × 8.16 × 0.35 × 10037 7.5 × 8.16 × 0.35 × 10037 =log(7.5 × 8.16 × 0.35 × 10037 ) =log7.5+log8.16+log0.35+log10037 =5.332423391 =antilog5.332423391 =214992.54
  5. 3.2 × 4.3 × 7.8 × 103.4 × 0.019 3.2 × 4.3 × 7.8 × 103.4 × 0.019 =log(3.2 × 4.3 × 7.8 × 103.4 × 0.019 ) =log3.2+log4.3+log7.8+log103.4+log0.019 =2.323987176 =antilog2.323987176 =210.8566
  6. 95.13 ÷ 7.23 95.13 ÷ 7.23 =log(95.13 ÷ 7.23 ) =log95.13log7.23 =1.119179199 =antilog1.119179199 =13.15767635
  7. 8.125 ÷ 0.9324 8.125 ÷ 0.9324 =log(8.125 ÷ 0.9324 ) =log8.125log0.9324 =0.9402211048 =antilog0.9402211048 =8.714071214
  8. 7653.95 ÷ 12.354 7653.95 ÷ 12.354 =log(7653.95 ÷ 12.354 ) =log7653.95log12.354 =2.792078024 =antilog2.792078024 =619.5523717
  9. 0.72183 0.0095 0.72183 0.0095 =log( 0.72183 0.0095 ) =log0.72183log0.0095 =1.880711323 =antilog1.880711323 =75.98210526
  10. 9114 0.02 9114 0.02 =log( 9114 0.02 ) =log9114log0.02 =5.658679029 =455700
  11. 2 10 2 10 =log 2 10 =10log2 =10( 0.3010299957 ) =3.010299957 =antilog3.010299957 =1024
  12. 0.1 5 3 0.1 5 3 =log0.1 5 3 =3log0.15 =3(0.8239087409 ) =2.471726223 =antilog(2.471726223 ) =3.375 × 1 0 3
  13. 18.6 5 4 18.6 5 4 =log18.6 5 4 =4log18.65 =4( 1.270678836 ) =5.082715345 =antilog( 5.082715345 ) =120980.4915
  14. 20.8 4 2 20.8 4 2 =log20.8 4 2 =2log20.84 =2( 1.318897715 ) =2.637795429 =antilog( 2.637795429 ) =434.3056
  15. 7. 2 6 7. 2 6 =log7. 2 6 =6log7.2 =6( 0.8573324964 ) =5.143994979 =antilog( 5.143994979 ) =139314.0695
  16. 3 3 =log 3 1 2 = 1 2 log3 = 1 2 ( 0.4771212547 ) =0.2385606274 =antilog( 0.2385606274 ) =1.732050808
  17. 23 23 =log 2 1 3 = 1 3 log( 2 ) = 1 3 ( 0.3010299957 ) =0.1003433319 =antilog( 0.1003433319 ) =1.25992105
  18. 54 54 =log 5 1 4 = 1 4 log5 = 1 4 ( 0.6989700043 ) =0.1747425011 =antilog( 0.1747425011 ) =1.495348781
  19. 635 635 =log6 3 1 5 = 1 5 log63 = 1 5 ( 1.799340549 ) =0.3598681099 =antilog( 0.3598681099 ) =2.290172049
  20. 8157 8157 =log81 5 1 7 = 1 7 log815 = 1 7 ( 2.911157609 ) =0.4158796584 =antilog( 0.4158796584 ) =2.605431493
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