3-log(x+2)=5

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Solution for 3-log(x+2)=5 equation:


Simplifying
3 + -1log(x + 2) = 5

Reorder the terms:
3 + -1glo(2 + x) = 5
3 + (2 * -1glo + x * -1glo) = 5
3 + (-2glo + -1glox) = 5

Solving
3 + -2glo + -1glox = 5

Solving for variable 'g'.

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

Add '-3' to each side of the equation.
3 + -2glo + -3 + -1glox = 5 + -3

Reorder the terms:
3 + -3 + -2glo + -1glox = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -2glo + -1glox = 5 + -3
-2glo + -1glox = 5 + -3

Combine like terms: 5 + -3 = 2
-2glo + -1glox = 2

Reorder the terms:
-2 + -2glo + -1glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 2glo + glox) = 0

Ignore the factor -1.

Subproblem 1

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