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Simplifying Log[4] * 3x + -1 = log[4] * 2x + 3 Reorder the terms for easier multiplication: 4 * 3goL * x + -1 = log[4] * 2x + 3 Multiply 4 * 3 12goL * x + -1 = log[4] * 2x + 3 Multiply goL * x 12goxL + -1 = log[4] * 2x + 3 Reorder the terms: -1 + 12goxL = log[4] * 2x + 3 Reorder the terms for easier multiplication: -1 + 12goxL = 4 * 2glo * x + 3 Multiply 4 * 2 -1 + 12goxL = 8glo * x + 3 Multiply glo * x -1 + 12goxL = 8glox + 3 Reorder the terms: -1 + 12goxL = 3 + 8glox Solving -1 + 12goxL = 3 + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glox' to each side of the equation. -1 + -8glox + 12goxL = 3 + 8glox + -8glox Combine like terms: 8glox + -8glox = 0 -1 + -8glox + 12goxL = 3 + 0 -1 + -8glox + 12goxL = 3 Add '1' to each side of the equation. -1 + -8glox + 1 + 12goxL = 3 + 1 Reorder the terms: -1 + 1 + -8glox + 12goxL = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -8glox + 12goxL = 3 + 1 -8glox + 12goxL = 3 + 1 Combine like terms: 3 + 1 = 4 -8glox + 12goxL = 4 Reorder the terms: -4 + -8glox + 12goxL = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8glox + 12goxL = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -2glox + 3goxL) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2glox + 3goxL)' equal to zero and attempt to solve: Simplifying -1 + -2glox + 3goxL = 0 Solving -1 + -2glox + 3goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2glox + 1 + 3goxL = 0 + 1 Reorder the terms: -1 + 1 + -2glox + 3goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2glox + 3goxL = 0 + 1 -2glox + 3goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -2glox + 3goxL = 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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