SOLUTION: Solve the equation log[4](6x+1)-2=2log[4]x

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Question 452520: Solve the equation log[4](6x+1)-2=2log[4]x
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
=log%284%2C+%286x%2B1%29%29-log%284%2C+x%5E2%29=log100=>log%284%2C+%286x%2B1%29%2Fx%5E2%29=log100=>
=>%286x%2B1%29%2Fx%5E2=100=>6x%2B1=100x%5E2=>100x%5E2-6x-1=0, solving this
quadratic equation we get x=%286%2B-sqrt%2836%2B400%29%29%2F%282%2A100%29.
You can continue the arithmetic and check the solutions.