log(3x-5)16=2

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Solution for log(3x-5)16=2 equation:


Simplifying
log(3x + -5) * 16 = 2

Reorder the terms:
glo(-5 + 3x) * 16 = 2

Reorder the terms for easier multiplication:
16glo(-5 + 3x) = 2
(-5 * 16glo + 3x * 16glo) = 2
(-80glo + 48glox) = 2

Solving
-80glo + 48glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -80glo + 48glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -80glo + 48glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -40glo + 24glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -40glo + 24glox)' equal to zero and attempt to solve: Simplifying -1 + -40glo + 24glox = 0 Solving -1 + -40glo + 24glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -40glo + 1 + 24glox = 0 + 1 Reorder the terms: -1 + 1 + -40glo + 24glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -40glo + 24glox = 0 + 1 -40glo + 24glox = 0 + 1 Combine like terms: 0 + 1 = 1 -40glo + 24glox = 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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