SOLUTION: Find the exact value(s) of x that satisfies the equation 4*3^(2x+4)+124=16000 Then condense everything in your answer to its log.

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Question 876488: Find the exact value(s) of x that satisfies the equation 4*3^(2x+4)+124=16000
Then condense everything in your answer to its log.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value(s) of x that satisfies the equation 4*3^(2x+4)+124=16000
4*3^(2x+4)+124=16000
3^(2x+4)+ 31 = 4000
3^(2x+4) = 3969 = 49*81 = 49*3^4
3^(2x) = 49
3^x = 7
x*log(3) = log(7)
x = log(7)/log(3)