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Simplifying Log[4](8) + log[4](6) = log[4](3x + 2) Reorder the terms for easier multiplication: 4 * 8goL + log[4](6) = log[4](3x + 2) Multiply 4 * 8 32goL + log[4](6) = log[4](3x + 2) Reorder the terms for easier multiplication: 32goL + 4 * 6glo = log[4](3x + 2) Multiply 4 * 6 32goL + 24glo = log[4](3x + 2) Reorder the terms: 24glo + 32goL = log[4](3x + 2) Reorder the terms: 24glo + 32goL = glo * 4(2 + 3x) Reorder the terms for easier multiplication: 24glo + 32goL = 4glo(2 + 3x) 24glo + 32goL = (2 * 4glo + 3x * 4glo) 24glo + 32goL = (8glo + 12glox) Solving 24glo + 32goL = 8glo + 12glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 24glo + -8glo + 32goL = 8glo + -8glo + 12glox Combine like terms: 24glo + -8glo = 16glo 16glo + 32goL = 8glo + -8glo + 12glox Combine like terms: 8glo + -8glo = 0 16glo + 32goL = 0 + 12glox 16glo + 32goL = 12glox Add '-12glox' to each side of the equation. 16glo + -12glox + 32goL = 12glox + -12glox Combine like terms: 12glox + -12glox = 0 16glo + -12glox + 32goL = 0 Factor out the Greatest Common Factor (GCF), '4go'. 4go(4l + -3lx + 8L) = 0 Ignore the factor 4.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 '(4l + -3lx + 8L)' equal to zero and attempt to solve: Simplifying 4l + -3lx + 8L = 0 Reorder the terms: 8L + 4l + -3lx = 0 Solving 8L + 4l + -3lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-8L' to each side of the equation. 8L + 4l + -8L + -3lx = 0 + -8L Reorder the terms: 8L + -8L + 4l + -3lx = 0 + -8L Combine like terms: 8L + -8L = 0 0 + 4l + -3lx = 0 + -8L 4l + -3lx = 0 + -8L Remove the zero: 4l + -3lx = -8L Add '-4l' to each side of the equation. 4l + -4l + -3lx = -8L + -4l Combine like terms: 4l + -4l = 0 0 + -3lx = -8L + -4l -3lx = -8L + -4l Add '3lx' to each side of the equation. -3lx + 3lx = -8L + -4l + 3lx Combine like terms: -3lx + 3lx = 0 0 = -8L + -4l + 3lx Simplifying 0 = -8L + -4l + 3lx 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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