5log(3)(x+3)=5

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


Simplifying
5log(3)(x + 3) = 5

Reorder the terms:
5glo * 3(3 + x) = 5

Reorder the terms for easier multiplication:
5 * 3glo(3 + x) = 5

Multiply 5 * 3
15glo(3 + x) = 5
(3 * 15glo + x * 15glo) = 5
(45glo + 15glox) = 5

Solving
45glo + 15glox = 5

Solving for variable 'g'.

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

Reorder the terms:
-5 + 45glo + 15glox = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 45glo + 15glox = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + 9glo + 3glox) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-1 + 9glo + 3glox)' equal to zero and attempt to solve: Simplifying -1 + 9glo + 3glox = 0 Solving -1 + 9glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 9glo + 1 + 3glox = 0 + 1 Reorder the terms: -1 + 1 + 9glo + 3glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9glo + 3glox = 0 + 1 9glo + 3glox = 0 + 1 Combine like terms: 0 + 1 = 1 9glo + 3glox = 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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