SOLUTION: solve: In√x-3=1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve: In√x-3=1      Log On


   

Question 206034: solve: In√x-3=1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
ln%28sqrt%28x%29%29-3+=+1 Add 3 to both sides of the equation.
ln%28sqrt%28x%29%29+=+4 Write the square root in its exponential form.
ln%28%28x%29%5E%281%2F2%29%29+=+4 Now apply the power rule for logarithms:Log%5Bb%5D%28M%29%5Ep+=+p%2ALog%5Bb%5D%28M%29
%281%2F2%29ln%28x%29+=+4 Multiply both sides by 2.
ln%28x%29+=+8 Write this in its exponential form:Log%5Bb%5D%28x%29+=+y means b%5Ey+=+x
e%5E8+=+x so...
highlight%28x+=+2981%29Approximately.