13=15-2log(x+3)

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Solution for 13=15-2log(x+3) equation:


Simplifying
13 = 15 + -2log(x + 3)

Reorder the terms:
13 = 15 + -2glo(3 + x)
13 = 15 + (3 * -2glo + x * -2glo)
13 = 15 + (-6glo + -2glox)

Solving
13 = 15 + -6glo + -2glox

Solving for variable 'g'.

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

Add '6glo' to each side of the equation.
13 + 6glo = 15 + -6glo + 6glo + -2glox

Combine like terms: -6glo + 6glo = 0
13 + 6glo = 15 + 0 + -2glox
13 + 6glo = 15 + -2glox

Add '2glox' to each side of the equation.
13 + 6glo + 2glox = 15 + -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
13 + 6glo + 2glox = 15 + 0
13 + 6glo + 2glox = 15

Add '-13' to each side of the equation.
13 + 6glo + -13 + 2glox = 15 + -13

Reorder the terms:
13 + -13 + 6glo + 2glox = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 6glo + 2glox = 15 + -13
6glo + 2glox = 15 + -13

Combine like terms: 15 + -13 = 2
6glo + 2glox = 2

Reorder the terms:
-2 + 6glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 6glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 3glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 3glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 3glo + glox = 0 Solving -1 + 3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 3glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3glo + glox = 0 + 1 3glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 3glo + glox = 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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