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Simplifying Log(7) * 3 + Log(7) * x = log(7) * 32 Reorder the terms for easier multiplication: 7 * 3goL + Log(7) * x = log(7) * 32 Multiply 7 * 3 21goL + Log(7) * x = log(7) * 32 Reorder the terms for easier multiplication: 21goL + 7goL * x = log(7) * 32 Multiply goL * x 21goL + 7goxL = log(7) * 32 Reorder the terms for easier multiplication: 21goL + 7goxL = 7 * 32glo Multiply 7 * 32 21goL + 7goxL = 224glo Solving 21goL + 7goxL = 224glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-224glo' to each side of the equation. 21goL + -224glo + 7goxL = 224glo + -224glo Reorder the terms: -224glo + 21goL + 7goxL = 224glo + -224glo Combine like terms: 224glo + -224glo = 0 -224glo + 21goL + 7goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-32l + 3L + xL) = 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 '(-32l + 3L + xL)' equal to zero and attempt to solve: Simplifying -32l + 3L + xL = 0 Reorder the terms: 3L + -32l + xL = 0 Solving 3L + -32l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -32l + -3L + xL = 0 + -3L Reorder the terms: 3L + -3L + -32l + xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -32l + xL = 0 + -3L -32l + xL = 0 + -3L Remove the zero: -32l + xL = -3L Add '32l' to each side of the equation. -32l + 32l + xL = -3L + 32l Combine like terms: -32l + 32l = 0 0 + xL = -3L + 32l xL = -3L + 32l Add '-1xL' to each side of the equation. xL + -1xL = -3L + 32l + -1xL Combine like terms: xL + -1xL = 0 0 = -3L + 32l + -1xL Simplifying 0 = -3L + 32l + -1xL 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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