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Simplifying log(m) = log(4m + 9) Multiply glo * m glmo = log(4m + 9) Reorder the terms: glmo = glo(9 + 4m) glmo = (9 * glo + 4m * glo) Reorder the terms: glmo = (4glmo + 9glo) glmo = (4glmo + 9glo) Solving glmo = 4glmo + 9glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glmo' to each side of the equation. glmo + -4glmo = 4glmo + -4glmo + 9glo Combine like terms: glmo + -4glmo = -3glmo -3glmo = 4glmo + -4glmo + 9glo Combine like terms: 4glmo + -4glmo = 0 -3glmo = 0 + 9glo -3glmo = 9glo Add '-9glo' to each side of the equation. -3glmo + -9glo = 9glo + -9glo Combine like terms: 9glo + -9glo = 0 -3glmo + -9glo = 0 Factor out the Greatest Common Factor (GCF), '-3glo'. -3glo(m + 3) = 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 '(m + 3)' equal to zero and attempt to solve: Simplifying m + 3 = 0 Reorder the terms: 3 + m = 0 Solving 3 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Add '-1m' to each side of the equation. m + -1m = -3 + -1m Combine like terms: m + -1m = 0 0 = -3 + -1m Simplifying 0 = -3 + -1m 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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