log(6)*(5x-3)=3

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Solution for log(6)*(5x-3)=3 equation:


Simplifying
log(6)(5x + -3) = 3

Reorder the terms:
glo * 6(-3 + 5x) = 3

Reorder the terms for easier multiplication:
6glo(-3 + 5x) = 3
(-3 * 6glo + 5x * 6glo) = 3
(-18glo + 30glox) = 3

Solving
-18glo + 30glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -18glo + 30glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -18glo + 30glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -6glo + 10glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -6glo + 10glox)' equal to zero and attempt to solve: Simplifying -1 + -6glo + 10glox = 0 Solving -1 + -6glo + 10glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6glo + 1 + 10glox = 0 + 1 Reorder the terms: -1 + 1 + -6glo + 10glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6glo + 10glox = 0 + 1 -6glo + 10glox = 0 + 1 Combine like terms: 0 + 1 = 1 -6glo + 10glox = 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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