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Simplifying log(x + 6) = log(8x) + -1login Reorder the terms: glo(6 + x) = log(8x) + -1login (6 * glo + x * glo) = log(8x) + -1login (6glo + glox) = log(8x) + -1login Remove parenthesis around (8x) 6glo + glox = glo * 8x + -1login Reorder the terms for easier multiplication: 6glo + glox = 8glo * x + -1login Multiply glo * x 6glo + glox = 8glox + -1login Reorder the terms: 6glo + glox = -1gilno + 8glox Solving 6glo + glox = -1gilno + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'gilno' to each side of the equation. 6glo + gilno + glox = -1gilno + gilno + 8glox Reorder the terms: gilno + 6glo + glox = -1gilno + gilno + 8glox Combine like terms: -1gilno + gilno = 0 gilno + 6glo + glox = 0 + 8glox gilno + 6glo + glox = 8glox Add '-8glox' to each side of the equation. gilno + 6glo + glox + -8glox = 8glox + -8glox Combine like terms: glox + -8glox = -7glox gilno + 6glo + -7glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 gilno + 6glo + -7glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(in + 6 + -7x) = 0Subproblem 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 '(in + 6 + -7x)' equal to zero and attempt to solve: Simplifying in + 6 + -7x = 0 Reorder the terms: 6 + in + -7x = 0 Solving 6 + in + -7x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + in + -6 + -7x = 0 + -6 Reorder the terms: 6 + -6 + in + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + in + -7x = 0 + -6 in + -7x = 0 + -6 Combine like terms: 0 + -6 = -6 in + -7x = -6 Add '-1in' to each side of the equation. in + -1in + -7x = -6 + -1in Combine like terms: in + -1in = 0 0 + -7x = -6 + -1in -7x = -6 + -1in Add '7x' to each side of the equation. -7x + 7x = -6 + -1in + 7x Combine like terms: -7x + 7x = 0 0 = -6 + -1in + 7x Simplifying 0 = -6 + -1in + 7x 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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