Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 168865: Can you please help?
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Please solve 64 = 4^(2x) 16^(3x^2) , it is 16 to the exponent of (3x^2)
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Thanks ahead of time, Levi: Can you please help?
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Please solve 64 = 4^(2x) 16^(3x^2) , it is 16 to the exponent of (3x^2)
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Thanks ahead of time, Levi
Answer by Alan3354(1926) About Me  (Show Source):
You can put this solution on YOUR website!
Please solve 64 = 4^(2x) 16^(3x^2) , it is 16 to the exponent of (3x^2)
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64 = 4^(2x) 16^(3x^2)
2^6 = 2^(4x) * 2^(12x^2)
2^6 = 2^(4x + 12x^2)
12x^2 + 4x = 6
6x^2 + 2x - 3 = 0
x = -1/6 + sqrt(19)/6
x = -1/6 - sqrt(19)/6