Equatio Nutilisant Des Exponentielles

  • Upload
    atire

  • View
    218

  • Download
    1

Embed Size (px)

Citation preview

Rsoudre l'quation ln (2x +3) = 7 Rsoudre l'quation ex = 6 Solution :

ln (2x +3 ) = 7

eln (2x +3 ) = e7

2x +3 = e7 =1096,6

2x = 1096,6 -3 = 1093,6

x = 1093,6/2 = 546,8

Rsoudre l'quation 5x = 8 Rsoudre l'quation x 2,5 = 4

Solution :

ex = 6

ln(ex) = ln (6)

x = ln (6)

x = 1,79

Solution : 5x = 8

ln (5x) = ln (8)

xln (5) = ln (8)

x = ln (8)/ln (5)

x = 1,29Solution : x 2,5 = 4

ln (x2,5) = ln (4)

2,5ln (x) = ln (4)

ln (x) = ln (4)/2,5

eln (x) = eln (4)/2,5

x = eln (4)/2,5 = 1,74