log^4(2-x)=log^4

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Solution for log^4(2-x)=log^4 equation:


Simplifying
log4(2 + -1x) = log4
(2 * g4lo + -1x * g4lo) = log4
(2g4lo + -1g4lox) = log4

Solving
2g4lo + -1g4lox = g4lo

Solving for variable 'g'.

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

Add '-1g4lo' to each side of the equation.
2g4lo + -1g4lo + -1g4lox = g4lo + -1g4lo

Combine like terms: 2g4lo + -1g4lo = 1g4lo
1g4lo + -1g4lox = g4lo + -1g4lo

Combine like terms: g4lo + -1g4lo = 0
1g4lo + -1g4lox = 0

Factor out the Greatest Common Factor (GCF), 'g4lo'.
g4lo(1 + -1x) = 0

Subproblem 1

Set the factor 'g4lo' equal to zero and attempt to solve: Simplifying g4lo = 0 Solving g4lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g4lo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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