3log(x-5)-4=2

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Solution for 3log(x-5)-4=2 equation:


Simplifying
3log(x + -5) + -4 = 2

Reorder the terms:
3glo(-5 + x) + -4 = 2
(-5 * 3glo + x * 3glo) + -4 = 2
(-15glo + 3glox) + -4 = 2

Reorder the terms:
-4 + -15glo + 3glox = 2

Solving
-4 + -15glo + 3glox = 2

Solving for variable 'g'.

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

Add '4' to each side of the equation.
-4 + -15glo + 4 + 3glox = 2 + 4

Reorder the terms:
-4 + 4 + -15glo + 3glox = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -15glo + 3glox = 2 + 4
-15glo + 3glox = 2 + 4

Combine like terms: 2 + 4 = 6
-15glo + 3glox = 6

Reorder the terms:
-6 + -15glo + 3glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -15glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -5glo + glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -5glo + glox)' equal to zero and attempt to solve: Simplifying -2 + -5glo + glox = 0 Solving -2 + -5glo + 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 + -5glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + -5glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5glo + glox = 0 + 2 -5glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 -5glo + 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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