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I tried to solve it with logarithm but it didn't work... I think my logarithm is broken 😅
@@yosefsalehi-bh2zy Bravo Yosef ☺️ But let ask audience that is there any other method to solve this problem?Write in the comments 👇
Excellent ….
Thanks Robert 🙂❤️
3^x= x^9 | ln()xln3= 9lnx | :x ln3 = 9lnx/x Ln3 = 9lnx/e^lnx ln3 = 9lnx * e^-lnx | : 9ln3/9= lnx * e^-lnx | *(-1)-ln3/9 = -lnx * e^-lnx Lambert W(-lnx * e^-lnx)= W(-ln3/9)-lnx= W(-ln3/9) |*(-1) Lnx= -W(-ln3/9) x= e^-W(-ln3/9)
Bravo my freind👏
but this solution is wrong!there is one more answer to this equation, x~1.15
@@Logiraz Please share your solution my friend 🙂
I tried to solve it with logarithm but it didn't work... I think my logarithm is broken 😅
@@yosefsalehi-bh2zy Bravo Yosef ☺️
But let ask audience that is there any other method to solve this problem?
Write in the comments 👇
Excellent ….
Thanks Robert 🙂❤️
3^x= x^9 | ln()
xln3= 9lnx | :x
ln3 = 9lnx/x
Ln3 = 9lnx/e^lnx
ln3 = 9lnx * e^-lnx | : 9
ln3/9= lnx * e^-lnx | *(-1)
-ln3/9 = -lnx * e^-lnx
Lambert
W(-lnx * e^-lnx)= W(-ln3/9)
-lnx= W(-ln3/9) |*(-1)
Lnx= -W(-ln3/9)
x= e^-W(-ln3/9)
Bravo my freind👏
but this solution is wrong!
there is one more answer to this equation, x~1.15
@@Logiraz Please share your solution my friend 🙂