log(2x+7)27=3

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Solution for log(2x+7)27=3 equation:


Simplifying
log(2x + 7) * 27 = 3

Reorder the terms:
glo(7 + 2x) * 27 = 3

Reorder the terms for easier multiplication:
27glo(7 + 2x) = 3
(7 * 27glo + 2x * 27glo) = 3
(189glo + 54glox) = 3

Solving
189glo + 54glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 189glo + 54glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 189glo + 54glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 63glo + 18glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + 63glo + 18glox)' equal to zero and attempt to solve: Simplifying -1 + 63glo + 18glox = 0 Solving -1 + 63glo + 18glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 63glo + 1 + 18glox = 0 + 1 Reorder the terms: -1 + 1 + 63glo + 18glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 63glo + 18glox = 0 + 1 63glo + 18glox = 0 + 1 Combine like terms: 0 + 1 = 1 63glo + 18glox = 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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