3log(5)(4x-7)+2=8

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Solution for 3log(5)(4x-7)+2=8 equation:


Simplifying
3log(5)(4x + -7) + 2 = 8

Reorder the terms:
3glo * 5(-7 + 4x) + 2 = 8

Reorder the terms for easier multiplication:
3 * 5glo(-7 + 4x) + 2 = 8

Multiply 3 * 5
15glo(-7 + 4x) + 2 = 8
(-7 * 15glo + 4x * 15glo) + 2 = 8
(-105glo + 60glox) + 2 = 8

Reorder the terms:
2 + -105glo + 60glox = 8

Solving
2 + -105glo + 60glox = 8

Solving for variable 'g'.

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

Add '-2' to each side of the equation.
2 + -105glo + -2 + 60glox = 8 + -2

Reorder the terms:
2 + -2 + -105glo + 60glox = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -105glo + 60glox = 8 + -2
-105glo + 60glox = 8 + -2

Combine like terms: 8 + -2 = 6
-105glo + 60glox = 6

Reorder the terms:
-6 + -105glo + 60glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -105glo + 60glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -35glo + 20glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -35glo + 20glox)' equal to zero and attempt to solve: Simplifying -2 + -35glo + 20glox = 0 Solving -2 + -35glo + 20glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -35glo + 2 + 20glox = 0 + 2 Reorder the terms: -2 + 2 + -35glo + 20glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -35glo + 20glox = 0 + 2 -35glo + 20glox = 0 + 2 Combine like terms: 0 + 2 = 2 -35glo + 20glox = 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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