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Simplifying log[4](9) = log[4](2x + 8) Reorder the terms for easier multiplication: 4 * 9glo = log[4](2x + 8) Multiply 4 * 9 36glo = log[4](2x + 8) Reorder the terms: 36glo = glo * 4(8 + 2x) Reorder the terms for easier multiplication: 36glo = 4glo(8 + 2x) 36glo = (8 * 4glo + 2x * 4glo) 36glo = (32glo + 8glox) Solving 36glo = 32glo + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-32glo' to each side of the equation. 36glo + -32glo = 32glo + -32glo + 8glox Combine like terms: 36glo + -32glo = 4glo 4glo = 32glo + -32glo + 8glox Combine like terms: 32glo + -32glo = 0 4glo = 0 + 8glox 4glo = 8glox Add '-8glox' to each side of the equation. 4glo + -8glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 4glo + -8glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(1 + -2x) = 0 Ignore the factor 4.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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x 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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