SOLUTION: tutors can you help please Solve 4^x-6=16^x and e^-2x=0.3 Thank you!!!!!!!!!!!

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Question 143920: tutors can you help please
Solve 4^x-6=16^x
and
e^-2x=0.3
Thank you!!!!!!!!!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 4^x-6=16^x
4^(x-6) = 4^(2x)
x-6 = 2x
x = -6
--------------
and
e^-2x=0.3
Take the natural log of both sides to get:
-2x = ln0.3
-2x = -1.20397...
x = 0.60198...
cheers,
Stan H.