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Simplifying Log(9) * 4x + -1log(9) * 8 = 2 Reorder the terms for easier multiplication: 9 * 4goL * x + -1log(9) * 8 = 2 Multiply 9 * 4 36goL * x + -1log(9) * 8 = 2 Multiply goL * x 36goxL + -1log(9) * 8 = 2 Reorder the terms for easier multiplication: 36goxL + -1 * 9 * 8glo = 2 Multiply -1 * 9 36goxL + -9 * 8glo = 2 Multiply -9 * 8 36goxL + -72glo = 2 Reorder the terms: -72glo + 36goxL = 2 Solving -72glo + 36goxL = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -72glo + 36goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -72glo + 36goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -36glo + 18goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -36glo + 18goxL)' equal to zero and attempt to solve: Simplifying -1 + -36glo + 18goxL = 0 Solving -1 + -36glo + 18goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -36glo + 1 + 18goxL = 0 + 1 Reorder the terms: -1 + 1 + -36glo + 18goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -36glo + 18goxL = 0 + 1 -36glo + 18goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -36glo + 18goxL = 1 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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