SOLUTION: How do I solve the equation 3xsquared=49 using its natural logarithm?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I solve the equation 3xsquared=49 using its natural logarithm?      Log On


   



Question 245968: How do I solve the equation 3xsquared=49 using its natural logarithm?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve the equation 3xsquared=49 using its natural logarithm?
---
3x^2 = 49
---
I can't imagine why you would want to use natural logs but here goes.
----
ln(3) + 2ln(x) = ln(49)
2ln(x) = ln(49)-ln(3)
2ln(x) = ln(49/3)
2ln(x) = 2.793
ln(x) = 1.397
x = e^1.397
x = 4.041
==============
Cheers,
Stan H.