SOLUTION: Solve the equations by finding the exact solution. (a). 1 = x-1 x = 2 (?) (b). ln(e) = ln(squarerootof2/x)-ln(e) x = Thank you for your time!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equations by finding the exact solution. (a). 1 = x-1 x = 2 (?) (b). ln(e) = ln(squarerootof2/x)-ln(e) x = Thank you for your time!      Log On


   

Question 473330: Solve the equations by finding the exact solution.
(a). 1 = x-1
x = 2 (?)
(b). ln(e) = ln(squarerootof2/x)-ln(e)
x =
Thank you for your time!
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
(a) x=2
.
(b) ln%28e%29+=+ln%28sqrt%282%2Fx%29%29-ln%28e%29
ln%28sqrt%282%2Fx%29%29=2ln%28e%29, formula n%2Alna=ln%28a%5En%29
ln%28sqrt%282%2Fx%29%29=ln%28e%5E2%29
sqrt%282%2Fx%29=e%5E2
%28sqrt%282%2Fx%29%29%5E2=%28e%5E2%29%5E2
2%2Fx=e%5E4multiply by x
2=x%2Ae%5E4 divide by e^4
x=2%2Fe%5E4