log(6)(5x-3)=4

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Solution for log(6)(5x-3)=4 equation:


Simplifying
log(6)(5x + -3) = 4

Reorder the terms:
glo * 6(-3 + 5x) = 4

Reorder the terms for easier multiplication:
6glo(-3 + 5x) = 4
(-3 * 6glo + 5x * 6glo) = 4
(-18glo + 30glox) = 4

Solving
-18glo + 30glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -18glo + 30glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -18glo + 30glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -9glo + 15glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -9glo + 15glox)' equal to zero and attempt to solve: Simplifying -2 + -9glo + 15glox = 0 Solving -2 + -9glo + 15glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -9glo + 2 + 15glox = 0 + 2 Reorder the terms: -2 + 2 + -9glo + 15glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9glo + 15glox = 0 + 2 -9glo + 15glox = 0 + 2 Combine like terms: 0 + 2 = 2 -9glo + 15glox = 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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