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Simplifying log(7)(18x) = 2 + log(7) * 126 Remove parenthesis around (18x) glo * 7 * 18x = 2 + log(7) * 126 Reorder the terms for easier multiplication: 7 * 18glo * x = 2 + log(7) * 126 Multiply 7 * 18 126glo * x = 2 + log(7) * 126 Multiply glo * x 126glox = 2 + log(7) * 126 Reorder the terms for easier multiplication: 126glox = 2 + 7 * 126glo Multiply 7 * 126 126glox = 2 + 882glo Solving 126glox = 2 + 882glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-882glo' to each side of the equation. -882glo + 126glox = 2 + 882glo + -882glo Combine like terms: 882glo + -882glo = 0 -882glo + 126glox = 2 + 0 -882glo + 126glox = 2 Reorder the terms: -2 + -882glo + 126glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -882glo + 126glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -441glo + 63glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -441glo + 63glox)' equal to zero and attempt to solve: Simplifying -1 + -441glo + 63glox = 0 Solving -1 + -441glo + 63glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -441glo + 1 + 63glox = 0 + 1 Reorder the terms: -1 + 1 + -441glo + 63glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -441glo + 63glox = 0 + 1 -441glo + 63glox = 0 + 1 Combine like terms: 0 + 1 = 1 -441glo + 63glox = 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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