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Simplifying Log[7](3x + -11) = log[7](2x) Reorder the terms: goL * 7(-11 + 3x) = log[7](2x) Reorder the terms for easier multiplication: 7goL(-11 + 3x) = log[7](2x) (-11 * 7goL + 3x * 7goL) = log[7](2x) (-77goL + 21goxL) = log[7](2x) Remove parenthesis around (2x) -77goL + 21goxL = glo * 7 * 2x Reorder the terms for easier multiplication: -77goL + 21goxL = 7 * 2glo * x Multiply 7 * 2 -77goL + 21goxL = 14glo * x Multiply glo * x -77goL + 21goxL = 14glox Solving -77goL + 21goxL = 14glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glox' to each side of the equation. -77goL + -14glox + 21goxL = 14glox + -14glox Reorder the terms: -14glox + -77goL + 21goxL = 14glox + -14glox Combine like terms: 14glox + -14glox = 0 -14glox + -77goL + 21goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-2lx + -11L + 3xL) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2lx + -11L + 3xL)' equal to zero and attempt to solve: Simplifying -2lx + -11L + 3xL = 0 Reorder the terms: -11L + -2lx + 3xL = 0 Solving -11L + -2lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '11L' to each side of the equation. -11L + -2lx + 11L + 3xL = 0 + 11L Reorder the terms: -11L + 11L + -2lx + 3xL = 0 + 11L Combine like terms: -11L + 11L = 0 0 + -2lx + 3xL = 0 + 11L -2lx + 3xL = 0 + 11L Remove the zero: -2lx + 3xL = 11L Add '2lx' to each side of the equation. -2lx + 2lx + 3xL = 11L + 2lx Combine like terms: -2lx + 2lx = 0 0 + 3xL = 11L + 2lx 3xL = 11L + 2lx Add '-3xL' to each side of the equation. 3xL + -3xL = 11L + 2lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = 11L + 2lx + -3xL Simplifying 0 = 11L + 2lx + -3xL 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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