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Simplifying log(4x3) = 3log(4x) Remove parenthesis around (4x3) glo * 4x3 = 3log(4x) Reorder the terms for easier multiplication: 4glo * x3 = 3log(4x) Multiply glo * x3 4glox3 = 3log(4x) Remove parenthesis around (4x) 4glox3 = 3glo * 4x Reorder the terms for easier multiplication: 4glox3 = 3 * 4glo * x Multiply 3 * 4 4glox3 = 12glo * x Multiply glo * x 4glox3 = 12glox Solving 4glox3 = 12glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glox' to each side of the equation. -12glox + 4glox3 = 12glox + -12glox Combine like terms: 12glox + -12glox = 0 -12glox + 4glox3 = 0 Factor out the Greatest Common Factor (GCF), '4glox'. 4glox(-3 + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-3 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + -1x2 Simplifying 0 = 3 + -1x2 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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