SOLUTION: Log base 2 (4)log base 2 (x) + log base 2 (7) =3

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Question 1090088: Log base 2 (4)log base 2 (x) + log base 2 (7) =3

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Log base 2 (4)log base 2 (x) + log base 2 (7) =3
The solution here is SO, SO, SIMPLE!
log+%282%2C+%284%29%29+%2A+log+%282%2C+%28x%29%29+%2B+log+%282%2C+%287%29%29+=+3
2+%2A+log+%282%2C+%28x%29%29+%2B+log+%282%2C+%287%29%29+=+3 ------ Substituting 2 for log+%282%2C+%284%29%29
log+%282%2C+%28x%5E2%29%29+%2B+log+%282%2C+%287%29%29+=+3
log+%282%2C+%287x%5E2%29%29+=+3
7x%5E2+=+2%5E3
7x%5E2+=+8
Taking only the positive value, we get:
That's how SIMPLE this solution is.