4log(x+3)+2=14

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Solution for 4log(x+3)+2=14 equation:


Simplifying
4log(x + 3) + 2 = 14

Reorder the terms:
4glo(3 + x) + 2 = 14
(3 * 4glo + x * 4glo) + 2 = 14
(12glo + 4glox) + 2 = 14

Reorder the terms:
2 + 12glo + 4glox = 14

Solving
2 + 12glo + 4glox = 14

Solving for variable 'g'.

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

Add '-2' to each side of the equation.
2 + 12glo + -2 + 4glox = 14 + -2

Reorder the terms:
2 + -2 + 12glo + 4glox = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 12glo + 4glox = 14 + -2
12glo + 4glox = 14 + -2

Combine like terms: 14 + -2 = 12
12glo + 4glox = 12

Reorder the terms:
-12 + 12glo + 4glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 12glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 3glo + glox) = 0

Ignore the factor 4.

Subproblem 1

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