SOLUTION: Solve for x. (1/3) lne^(3x)- 3e^(lnx)=12. There is no solution but I don't know how to prove that. Please help. Thank you.
Algebra.Com
Question 970075: Solve for x. (1/3) lne^(3x)- 3e^(lnx)=12. There is no solution but I don't know how to prove that. Please help. Thank you.
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve for x. (1/3) lne^(3x)- 3e^(lnx)=12
(1/3)*(3x)- 3x = 12
x - 3x = 12
x = -6
--------------
--> ln of a negative number, not allowed --> no solution
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
ln (e ^ something) = something. ln and e are opposites, like dividing and multiplying.
(1/3) lne^(3x)- 3e^(lnx)=12; e^lnx =1
(1/3)* 3x -3 =12
x -3 =12
x=15
Check this
(1/3) ln e^(45)- 3 e^(ln 15)=12
15-15 =0
but 0 does not equal 12. No solution
Try ln (1)=0; (1/3)* ln e^3-3e(0)=12; (1/3)*3 -0=12, which is not true.
RELATED QUESTIONS
Solve for x. ((1/3)ln e^(3x)-3e^(ln x)=12. The answer is no solution but I'm not sure how (answered by Fombitz)
Banging my head on desk. Please help
(3x/(x^2-4)+(3+x)/(x+2)
I know that the... (answered by ankor@dixie-net.com)
Solve each radical equation. Check your solution. If there is no solution, whrite no... (answered by narayaba)
I would appreciate your help with the following. I found one solution that came close,... (answered by venugopalramana)
PLEASE HELP ME!
Proof by math induction (2n-1)^3= n^2(2n^2-1)
I am pretty sure it is... (answered by ikleyn)
2x2-7x+1=0
I know that the left side of the equation must =-1 but I don’t know how to... (answered by robertb)
I'm confused on this problem, Solve: lnx - ln2 = 0 The answer is 2, but I have no idea... (answered by ikleyn)
I need help with a couple equation I need to solve concerning logarithms:
1)... (answered by Nate)
OK , here is the problem, solve for x.
x^(1+ln x)= 7,39
Doesn´t look that complicated... (answered by longjonsilver)