SOLUTION: 8^(2x)*4^(2x)= 2^(x+1) Please help without using algorithms or anything of that sort

Algebra ->  Exponents -> SOLUTION: 8^(2x)*4^(2x)= 2^(x+1) Please help without using algorithms or anything of that sort       Log On


   

Question 266791: 8^(2x)*4^(2x)= 2^(x+1)
Please help without using algorithms or anything of that sort
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8^(2x)*4^(2x)= 2^(x+1)
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Convert the bases to "2".
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(2^3)^(2x) * (2^2)^(2x) = 2^(x+1)
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Modify the exponents:
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(2^6x) * (2*4x) = 2^(x+1)
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2^(10x) = 2^(x+1)
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Since bases are the same, exponents are equal:
10x = x+1
9x = 1
x = 1/9
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Cheers,
Stan H.
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