SOLUTION: solve for x log(base 4)(x^2-3x) = 1

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Question 436311: solve for x
log(base 4)(x^2-3x) = 1
Found 2 solutions by ewatrrr, Gogonati:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Familarize Yourself with the Properties:











  x^2-3x = 4

  x^2 - 3x-4 = 0

factoring

 (x+1)(x-4) = 0

  (x+1)= 0    x = -1     |Checking this solution: log4 4 = 1

Or (x-4) = 0   x = 4     |Checking this solution: log4 4 = 1

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C+%28x%5E2-3x%29%29=log%284%2C4%29 => x%5E2-3x=4 => x%5E2-3x-4=0
Solve the final equation:%28x%2B1%29%28x-4%29=0 => x%2B1=0 and x-4=0
The roots are x=-1 and x=4.