SOLUTION: ln(x+3)-4=ln(x-5) Ive tried doing this problem multiple times and I never get the correct answer. Please help!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: ln(x+3)-4=ln(x-5) Ive tried doing this problem multiple times and I never get the correct answer. Please help!      Log On


   

Question 836278: ln(x+3)-4=ln(x-5)
Ive tried doing this problem multiple times and I never get the correct answer. Please help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x%2B3%29-4=ln%28x-5%29


ln%28x%2B3%29=ln%28x-5%29%2B4


ln%28x%2B3%29-ln%28x-5%29+=+4


ln%28%28x%2B3%29%2F%28x-5%29%29+=+4


%28x%2B3%29%2F%28x-5%29+=+e%5E4


x%2B3+=+e%5E4%28x-5%29


x%2B3+=+e%5E4%2Ax%2Be%5E4%2A%28-5%29


x%2B3+=+e%5E4%2Ax-5e%5E4


x+=+e%5E4%2Ax-5e%5E4-3


x-e%5E4%2Ax+=+-5e%5E4-3


x%281-e%5E4%29+=+-5e%5E4-3


x+=+%28-5e%5E4-3%29%2F%281-e%5E4%29


x+=+-%285e%5E4%2B3%29%2F%281-e%5E4%29


x+=+-%285e%5E4%2B3%29%2F%28-1%28-1%2Be%5E4%29%29


x+=+%285e%5E4%2B3%29%2F%28e%5E4-1%29 <---- Exact Answer


x+=+5.1492588829 <---- Approximate Answer (use a calculator to input the expression and evaluate)