Treball5 Maso1
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EQUACIONS LOGARÍTMIQUES (i un parell d’exponencials...) 1. 2. 3. 4.
log x + log 50 = log 1000 log x = 1 + log(22-x) 2log x – log (x-16) = 2 3log x = log 6 + 2log x 5. log2 x = 3 6. log (2x+5) = -1 7. log5 x2 + log5 10 = log5 x + log5 100 – log5 2 8. log (x3-8) = 3log (x-2) log( x 2 − 4) = 1 − log 5 9. 5 10. log (x-4) + log (x-1) = 0 11. log (2x-4) – log (x+2) = 1 12. 2log (x+1) – log 2 = log (x2-1) 13. 2log x – log (4x-5) = 0 14. log3 (2x+1) = 4
15. 32x = 5x+1 16. 4x+2 = 52 17. 8x – 7·4x + 14·2x – 8 = 0 18. 3x + 9x = 2 19. 3x-1 + (1/3)x-2 = 4 20. 32-x + 2·33-x = 7
Solucions: 1) x=20 2) x=20 3) x1= 20 ,x2 =80 4) x=6 5) x =8 6) x=-2’45 7) x=5 8) no té solució real 9) x1 =+6 ,x2 =-6 10) x=4’303 11) no té solució real 12) x=3 13) no té solució real 14) x=40 15) x=2’74 16) x=0’85 17) x1=0 x2=1 x3=2 18) x=0 19) x1=1 x2=2 20) x=2
log x + log 50 = log 1000 log x = 1 + log(22-x) 2log x – log (x-16) = 2 3log x = log 6 + 2log x 5. log2 x = 3 6. log (2x+5) = -1 7. log5 x2 + log5 10 = log5 x + log5 100 – log5 2 8. log (x3-8) = 3log (x-2) log( x 2 − 4) = 1 − log 5 9. 5 10. log (x-4) + log (x-1) = 0 11. log (2x-4) – log (x+2) = 1 12. 2log (x+1) – log 2 = log (x2-1) 13. 2log x – log (4x-5) = 0 14. log3 (2x+1) = 4
15. 32x = 5x+1 16. 4x+2 = 52 17. 8x – 7·4x + 14·2x – 8 = 0 18. 3x + 9x = 2 19. 3x-1 + (1/3)x-2 = 4 20. 32-x + 2·33-x = 7
Solucions: 1) x=20 2) x=20 3) x1= 20 ,x2 =80 4) x=6 5) x =8 6) x=-2’45 7) x=5 8) no té solució real 9) x1 =+6 ,x2 =-6 10) x=4’303 11) no té solució real 12) x=3 13) no té solució real 14) x=40 15) x=2’74 16) x=0’85 17) x1=0 x2=1 x3=2 18) x=0 19) x1=1 x2=2 20) x=2
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