2=log^5(x-2)

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Solution for 2=log^5(x-2) equation:


Simplifying
2 = log5(x + -2)

Reorder the terms:
2 = g5lo(-2 + x)
2 = (-2 * g5lo + x * g5lo)
2 = (-2g5lo + g5lox)

Solving
2 = -2g5lo + g5lox

Solving for variable 'g'.

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

Add '2g5lo' to each side of the equation.
2 + 2g5lo = -2g5lo + 2g5lo + g5lox

Combine like terms: -2g5lo + 2g5lo = 0
2 + 2g5lo = 0 + g5lox
2 + 2g5lo = g5lox

Add '-1g5lox' to each side of the equation.
2 + 2g5lo + -1g5lox = g5lox + -1g5lox

Combine like terms: g5lox + -1g5lox = 0
2 + 2g5lo + -1g5lox = 0

Add '-2' to each side of the equation.
2 + 2g5lo + -2 + -1g5lox = 0 + -2

Reorder the terms:
2 + -2 + 2g5lo + -1g5lox = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2g5lo + -1g5lox = 0 + -2
2g5lo + -1g5lox = 0 + -2

Combine like terms: 0 + -2 = -2
2g5lo + -1g5lox = -2

Reorder the terms:
2 + 2g5lo + -1g5lox = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 2g5lo + -1g5lox = 0

The solution to this equation could not be determined.

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