SOLUTION: Kindly please assist. Solve 2^x=5^x^2 for x a)0.431 b)2.322 c)0 and 0.431 d)0 and 2.322

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Kindly please assist. Solve 2^x=5^x^2 for x a)0.431 b)2.322 c)0 and 0.431 d)0 and 2.322      Log On


   

Question 700443: Kindly please assist.
Solve 2^x=5^x^2 for x
a)0.431
b)2.322
c)0 and 0.431
d)0 and 2.322
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 2^x=5^x^2 for x
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2^x = 5^(x^2)
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Take the log of both sides:
x*log(2) = x^2(log(5))
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0.6990x^2 - 0.3010x = 0
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x[0.6990x - 0.3010] = 0
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x = 0 or x = (0.3010/0.6990)
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x = 0 or x = 0.431
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Cheers,
Stan H.
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a)0.431
b)2.322
c)0 and 0.431
d)0 and 2.322