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Simplifying 4xlog(5) = log(26) Reorder the terms for easier multiplication: 4 * 5glox = log(26) Multiply 4 * 5 20glox = log(26) Reorder the terms for easier multiplication: 20glox = 26glo Solving 20glox = 26glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-26glo' to each side of the equation. -26glo + 20glox = 26glo + -26glo Combine like terms: 26glo + -26glo = 0 -26glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-13 + 10x) = 0 Ignore the factor 2.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 '(-13 + 10x)' equal to zero and attempt to solve: Simplifying -13 + 10x = 0 Solving -13 + 10x = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 10x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 0 + 13 10x = 0 + 13 Combine like terms: 0 + 13 = 13 10x = 13 Add '-10x' to each side of the equation. 10x + -10x = 13 + -10x Combine like terms: 10x + -10x = 0 0 = 13 + -10x Simplifying 0 = 13 + -10x 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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