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Simplifying 10 = 4log(2x + 6) Reorder the terms: 10 = 4glo(6 + 2x) 10 = (6 * 4glo + 2x * 4glo) 10 = (24glo + 8glox) Solving 10 = 24glo + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 10 + -24glo = 24glo + -24glo + 8glox Combine like terms: 24glo + -24glo = 0 10 + -24glo = 0 + 8glox 10 + -24glo = 8glox Add '-8glox' to each side of the equation. 10 + -24glo + -8glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 10 + -24glo + -8glox = 0 Add '-10' to each side of the equation. 10 + -24glo + -10 + -8glox = 0 + -10 Reorder the terms: 10 + -10 + -24glo + -8glox = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -24glo + -8glox = 0 + -10 -24glo + -8glox = 0 + -10 Combine like terms: 0 + -10 = -10 -24glo + -8glox = -10 Reorder the terms: 10 + -24glo + -8glox = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -24glo + -8glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -12glo + -4glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -12glo + -4glox)' equal to zero and attempt to solve: Simplifying 5 + -12glo + -4glox = 0 Solving 5 + -12glo + -4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -12glo + -5 + -4glox = 0 + -5 Reorder the terms: 5 + -5 + -12glo + -4glox = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12glo + -4glox = 0 + -5 -12glo + -4glox = 0 + -5 Combine like terms: 0 + -5 = -5 -12glo + -4glox = -5 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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