Log*4(x-2)=-2

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Solution for Log*4(x-2)=-2 equation:


Simplifying
Log * 4(x + -2) = -2

Reorder the terms:
goL * 4(-2 + x) = -2

Reorder the terms for easier multiplication:
4goL(-2 + x) = -2
(-2 * 4goL + x * 4goL) = -2
(-8goL + 4goxL) = -2

Solving
-8goL + 4goxL = -2

Solving for variable 'g'.

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

Reorder the terms:
2 + -8goL + 4goxL = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -8goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4goL + 2goxL) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -4goL + 2goxL)' equal to zero and attempt to solve: Simplifying 1 + -4goL + 2goxL = 0 Solving 1 + -4goL + 2goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4goL + -1 + 2goxL = 0 + -1 Reorder the terms: 1 + -1 + -4goL + 2goxL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4goL + 2goxL = 0 + -1 -4goL + 2goxL = 0 + -1 Combine like terms: 0 + -1 = -1 -4goL + 2goxL = -1 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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