4x=log(3)8x-2

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


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

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

Multiply 3 * 8
4x = 24glo * x + -2

Multiply glo * x
4x = 24glox + -2

Reorder the terms:
4x = -2 + 24glox

Solving
4x = -2 + 24glox

Solving for variable 'x'.

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

Add '-24glox' to each side of the equation.
-24glox + 4x = -2 + 24glox + -24glox

Combine like terms: 24glox + -24glox = 0
-24glox + 4x = -2 + 0
-24glox + 4x = -2

Reorder the terms:
2 + -24glox + 4x = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -24glox + 4x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -12glox + 2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -12glox + 2x)' equal to zero and attempt to solve: Simplifying 1 + -12glox + 2x = 0 Solving 1 + -12glox + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -12glox + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + -12glox + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12glox + 2x = 0 + -1 -12glox + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 -12glox + 2x = -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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