Log[4]x=3-log[4](20-x)

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Solution for Log[4]x=3-log[4](20-x) equation:


Simplifying
Log[4] * x = 3 + -1log[4](20 + -1x)

Reorder the terms for easier multiplication:
4goL * x = 3 + -1log[4](20 + -1x)

Multiply goL * x
4goxL = 3 + -1log[4](20 + -1x)

Reorder the terms for easier multiplication:
4goxL = 3 + -1 * 4glo(20 + -1x)

Multiply -1 * 4
4goxL = 3 + -4glo(20 + -1x)
4goxL = 3 + (20 * -4glo + -1x * -4glo)
4goxL = 3 + (-80glo + 4glox)

Solving
4goxL = 3 + -80glo + 4glox

Solving for variable 'g'.

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

Add '80glo' to each side of the equation.
80glo + 4goxL = 3 + -80glo + 80glo + 4glox

Combine like terms: -80glo + 80glo = 0
80glo + 4goxL = 3 + 0 + 4glox
80glo + 4goxL = 3 + 4glox

Add '-4glox' to each side of the equation.
80glo + -4glox + 4goxL = 3 + 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
80glo + -4glox + 4goxL = 3 + 0
80glo + -4glox + 4goxL = 3

Reorder the terms:
-3 + 80glo + -4glox + 4goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 80glo + -4glox + 4goxL = 0

The solution to this equation could not be determined.

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