2log^3(x-7)=2

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Solution for 2log^3(x-7)=2 equation:


Simplifying
2log3(x + -7) = 2

Reorder the terms:
2g3lo(-7 + x) = 2
(-7 * 2g3lo + x * 2g3lo) = 2
(-14g3lo + 2g3lox) = 2

Solving
-14g3lo + 2g3lox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -14g3lo + 2g3lox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -14g3lo + 2g3lox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -7g3lo + g3lox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -7g3lo + g3lox)' equal to zero and attempt to solve: Simplifying -1 + -7g3lo + g3lox = 0 Solving -1 + -7g3lo + g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7g3lo + 1 + g3lox = 0 + 1 Reorder the terms: -1 + 1 + -7g3lo + g3lox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7g3lo + g3lox = 0 + 1 -7g3lo + g3lox = 0 + 1 Combine like terms: 0 + 1 = 1 -7g3lo + g3lox = 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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