5=log(3)(4x-17)

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Solution for 5=log(3)(4x-17) equation:


Simplifying
5 = log(3)(4x + -17)

Reorder the terms:
5 = glo * 3(-17 + 4x)

Reorder the terms for easier multiplication:
5 = 3glo(-17 + 4x)
5 = (-17 * 3glo + 4x * 3glo)
5 = (-51glo + 12glox)

Solving
5 = -51glo + 12glox

Solving for variable 'g'.

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

Add '51glo' to each side of the equation.
5 + 51glo = -51glo + 51glo + 12glox

Combine like terms: -51glo + 51glo = 0
5 + 51glo = 0 + 12glox
5 + 51glo = 12glox

Add '-12glox' to each side of the equation.
5 + 51glo + -12glox = 12glox + -12glox

Combine like terms: 12glox + -12glox = 0
5 + 51glo + -12glox = 0

Add '-5' to each side of the equation.
5 + 51glo + -5 + -12glox = 0 + -5

Reorder the terms:
5 + -5 + 51glo + -12glox = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 51glo + -12glox = 0 + -5
51glo + -12glox = 0 + -5

Combine like terms: 0 + -5 = -5
51glo + -12glox = -5

Reorder the terms:
5 + 51glo + -12glox = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 51glo + -12glox = 0

The solution to this equation could not be determined.

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