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Simplifying log(3) * 9 + log(3) * 2x2 = log(3) * 162 Reorder the terms for easier multiplication: 3 * 9glo + log(3) * 2x2 = log(3) * 162 Multiply 3 * 9 27glo + log(3) * 2x2 = log(3) * 162 Reorder the terms for easier multiplication: 27glo + 3 * 2glo * x2 = log(3) * 162 Multiply 3 * 2 27glo + 6glo * x2 = log(3) * 162 Multiply glo * x2 27glo + 6glox2 = log(3) * 162 Reorder the terms for easier multiplication: 27glo + 6glox2 = 3 * 162glo Multiply 3 * 162 27glo + 6glox2 = 486glo Solving 27glo + 6glox2 = 486glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-486glo' to each side of the equation. 27glo + -486glo + 6glox2 = 486glo + -486glo Combine like terms: 27glo + -486glo = -459glo -459glo + 6glox2 = 486glo + -486glo Combine like terms: 486glo + -486glo = 0 -459glo + 6glox2 = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-153 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-153 + 2x2)' equal to zero and attempt to solve: Simplifying -153 + 2x2 = 0 Solving -153 + 2x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '153' to each side of the equation. -153 + 153 + 2x2 = 0 + 153 Combine like terms: -153 + 153 = 0 0 + 2x2 = 0 + 153 2x2 = 0 + 153 Combine like terms: 0 + 153 = 153 2x2 = 153 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 153 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 153 + -2x2 Simplifying 0 = 153 + -2x2 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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