SOLUTION: e^[3ln(x^2)-2ln(x)]=ln(e^16), I can not do that, help me please. Need to find exact solution.

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Question 933145: e^[3ln(x^2)-2ln(x)]=ln(e^16), I can not do that, help me please. Need to find exact solution.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%283ln%28x%5E2%29-2ln%28x%29%29=ln%28e%5E16%29...........since ln%28e%5E16%29=16

e%5E%28ln%28%28x%5E2%29%5E3%29-ln%28x%5E2%29%29=16

e%5E%28ln%28x%5E6%29-ln%28x%5E2%29%29=16

e%5E%28ln%28x%5E6%2F%28x%5E2%29%29%29=16 ....-> in case you can't see, here is e^(ln(x^6/(x^2)))=16

e%5E%28ln%28x%5E4%29%29=16 ................e%5E%28ln%28x%5E4%29%29=x%5E4+

x%5E4=16

x=root%284%2C16%29

x=root%284%2C2%5E4%29

solutions:

x=2 or x=-2