log[2](x^2-7x+12)log[2](2x-10)=3

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Solution for log[2](x^2-7x+12)log[2](2x-10)=3 equation:


Simplifying
log[2](x2 + -7x + 12) * log[2](2x + -10) = 3

Reorder the terms:
glo * 2(12 + -7x + x2) * log[2](2x + -10) = 3

Reorder the terms:
glo * 2(12 + -7x + x2) * glo * 2(-10 + 2x) = 3

Reorder the terms for easier multiplication:
2 * 2glo * glo(12 + -7x + x2)(-10 + 2x) = 3

Multiply 2 * 2
4glo * glo(12 + -7x + x2)(-10 + 2x) = 3

Multiply glo * glo
4g2l2o2(12 + -7x + x2)(-10 + 2x) = 3

Multiply (12 + -7x + x2) * (-10 + 2x)
4g2l2o2(12(-10 + 2x) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 3
4g2l2o2((-10 * 12 + 2x * 12) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 3
4g2l2o2((-120 + 24x) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 3
4g2l2o2(-120 + 24x + (-10 * -7x + 2x * -7x) + x2(-10 + 2x)) = 3
4g2l2o2(-120 + 24x + (70x + -14x2) + x2(-10 + 2x)) = 3
4g2l2o2(-120 + 24x + 70x + -14x2 + (-10 * x2 + 2x * x2)) = 3
4g2l2o2(-120 + 24x + 70x + -14x2 + (-10x2 + 2x3)) = 3

Combine like terms: 24x + 70x = 94x
4g2l2o2(-120 + 94x + -14x2 + -10x2 + 2x3) = 3

Combine like terms: -14x2 + -10x2 = -24x2
4g2l2o2(-120 + 94x + -24x2 + 2x3) = 3
(-120 * 4g2l2o2 + 94x * 4g2l2o2 + -24x2 * 4g2l2o2 + 2x3 * 4g2l2o2) = 3
(-480g2l2o2 + 376g2l2o2x + -96g2l2o2x2 + 8g2l2o2x3) = 3

Solving
-480g2l2o2 + 376g2l2o2x + -96g2l2o2x2 + 8g2l2o2x3 = 3

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-3 + -480g2l2o2 + 376g2l2o2x + -96g2l2o2x2 + 8g2l2o2x3 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -480g2l2o2 + 376g2l2o2x + -96g2l2o2x2 + 8g2l2o2x3 = 0

The solution to this equation could not be determined.

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