SOLUTION: Here is the problem using natural logarithm: 23=3ln(x-1)+14 What we did was the following: 23=3ln(x-1)+14 subtract 14 from both sides 9=3ln(x-1) divide both sides by 3 3=l

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Here is the problem using natural logarithm: 23=3ln(x-1)+14 What we did was the following: 23=3ln(x-1)+14 subtract 14 from both sides 9=3ln(x-1) divide both sides by 3 3=l      Log On


   

Question 223004: Here is the problem using natural logarithm:
23=3ln(x-1)+14
What we did was the following:
23=3ln(x-1)+14
subtract 14 from both sides
9=3ln(x-1)
divide both sides by 3
3=ln(x-1)
x-1=e^3
add 1 to both sides
x=e^3+1
Please help!!! It's driving us nuts!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the original problem is 23=3ln%28x-1%29%2B14 and your answer is x=e%5E3%2B1, then you are correct.

Check:

23=3ln%28x-1%29%2B14 Start with the given equation


23=3ln%28e%5E3%2B1-1%29%2B14 Plug in x=e%5E3%2B1


23=3ln%28e%5E3%29%2B14 Combine like terms.


23=3%2A3ln%28e%29%2B14 Pull down the exponent.


23=3%2A3%281%29%2B14 Evaluate the natural log of 'e' to get 1.


23=9%2B14 Multiply


23=23 Add. Since the equation is true, this verifies the solution.