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Simplifying log(7) * x = log(7) * 4 + Log(7) * 6 + -1Log(7) * 3 Reorder the terms for easier multiplication: 7glo * x = log(7) * 4 + Log(7) * 6 + -1Log(7) * 3 Multiply glo * x 7glox = log(7) * 4 + Log(7) * 6 + -1Log(7) * 3 Reorder the terms for easier multiplication: 7glox = 7 * 4glo + Log(7) * 6 + -1Log(7) * 3 Multiply 7 * 4 7glox = 28glo + Log(7) * 6 + -1Log(7) * 3 Reorder the terms for easier multiplication: 7glox = 28glo + 7 * 6goL + -1Log(7) * 3 Multiply 7 * 6 7glox = 28glo + 42goL + -1Log(7) * 3 Reorder the terms for easier multiplication: 7glox = 28glo + 42goL + -1 * 7 * 3goL Multiply -1 * 7 7glox = 28glo + 42goL + -7 * 3goL Multiply -7 * 3 7glox = 28glo + 42goL + -21goL Combine like terms: 42goL + -21goL = 21goL 7glox = 28glo + 21goL Solving 7glox = 28glo + 21goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. -28glo + 7glox = 28glo + -28glo + 21goL Combine like terms: 28glo + -28glo = 0 -28glo + 7glox = 0 + 21goL -28glo + 7glox = 21goL Add '-21goL' to each side of the equation. -28glo + 7glox + -21goL = 21goL + -21goL Combine like terms: 21goL + -21goL = 0 -28glo + 7glox + -21goL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-4l + lx + -3L) = 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 '(-4l + lx + -3L)' equal to zero and attempt to solve: Simplifying -4l + lx + -3L = 0 Reorder the terms: -3L + -4l + lx = 0 Solving -3L + -4l + lx = 0 Move all terms containing g to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + -4l + 3L + lx = 0 + 3L Reorder the terms: -3L + 3L + -4l + lx = 0 + 3L Combine like terms: -3L + 3L = 0 0 + -4l + lx = 0 + 3L -4l + lx = 0 + 3L Remove the zero: -4l + lx = 3L Add '4l' to each side of the equation. -4l + 4l + lx = 3L + 4l Combine like terms: -4l + 4l = 0 0 + lx = 3L + 4l lx = 3L + 4l Add '-1lx' to each side of the equation. lx + -1lx = 3L + 4l + -1lx Combine like terms: lx + -1lx = 0 0 = 3L + 4l + -1lx Simplifying 0 = 3L + 4l + -1lx 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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