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Simplifying X * log(5) = log(20) Reorder the terms for easier multiplication: 5X * glo = log(20) Multiply X * glo 5gloX = log(20) Reorder the terms for easier multiplication: 5gloX = 20glo Solving 5gloX = 20glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20glo' to each side of the equation. -20glo + 5gloX = 20glo + -20glo Combine like terms: 20glo + -20glo = 0 -20glo + 5gloX = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-4 + X) = 0 Ignore the factor 5.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 '(-4 + X)' equal to zero and attempt to solve: Simplifying -4 + X = 0 Solving -4 + X = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X = 0 + 4 X = 0 + 4 Combine like terms: 0 + 4 = 4 X = 4 Add '-1X' to each side of the equation. X + -1X = 4 + -1X Combine like terms: X + -1X = 0 0 = 4 + -1X Simplifying 0 = 4 + -1X 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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