SOLUTION: Please help me solve this problem {{{(4^x)(16^(3x-1))=8}}}

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Question 445087: Please help me solve this problem %284%5Ex%29%2816%5E%283x-1%29%29=8
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
To multiply these first you'll have to change them to the same base. You can convert these all to base 2.
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4%5Ex%2A16%5E%283x-1%29=8
%282%5E2%29%5Ex%2A%282%5E4%29%5E%283x-1%29=2%5E3
2%5E%282x%29%2A2%5E%284%283x-1%29%29=2%5E3
2%5E%282x%29%2A2%5E%2812x-4%29=2%5E3
2%5E%28%282x%29%2B%2812x-4%29%29=2%5E3
2%5E%2814x-4%29=2%5E3
therefore,14x-4=3
since if, 2%5E%28junk%29=2%5E%28garbage%29
therefore, junk=garbage
so,14x-4=3
14x=3%2B4
14x=7
x=7%2F14
x=1%2F2
Therefore, x=1/2.