SOLUTION: solve for x log(base4)(x^2-3x) = 1

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Question 437888: solve for x
log(base4)(x^2-3x) = 1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Get logs on both sides.
First, express 1 as a log to the base 4
+1+=+log%284%2C4%29+
Rewrite the equation:
+log%284%2C%28x%5E2+-+3x%29%29+=+log%284%2C4%29+
+x%5E2+-+3x+=+4+
+x%5E2+-+3x+-+4+=+0+
+%28x-4%29%2A%28x%2B1%29+=+0+
+x+=+4+
+x+=+-1+
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check answers:
+log%284%2C%28x%5E2+-+3x%29%29+=+log%284%2C4%29+
+log%284%2C%284%5E2+-+3%2A4%29%29+=+log%284%2C4%29+
+log%284%2C4%29+=+log%284%2C4%29+
and
+log%284%2C%28%28-1%29%5E2+-+3%2A%28-1%29%29%29+=+log%284%2C4%29+
+log%284%2C+%281%2B3%29%29+=+log%284%2C4%29+
+log%284%2C4%29+=+log%284%2C4%29+