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Simplifying log(25x2) + -1log(15x) = 35 Remove parenthesis around (25x2) glo * 25x2 + -1log(15x) = 35 Reorder the terms for easier multiplication: 25glo * x2 + -1log(15x) = 35 Multiply glo * x2 25glox2 + -1log(15x) = 35 Remove parenthesis around (15x) 25glox2 + -1glo * 15x = 35 Reorder the terms for easier multiplication: 25glox2 + -1 * 15glo * x = 35 Multiply -1 * 15 25glox2 + -15glo * x = 35 Multiply glo * x 25glox2 + -15glox = 35 Reorder the terms: -15glox + 25glox2 = 35 Solving -15glox + 25glox2 = 35 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -35 + -15glox + 25glox2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -15glox + 25glox2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + -3glox + 5glox2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -3glox + 5glox2)' equal to zero and attempt to solve: Simplifying -7 + -3glox + 5glox2 = 0 Solving -7 + -3glox + 5glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -3glox + 7 + 5glox2 = 0 + 7 Reorder the terms: -7 + 7 + -3glox + 5glox2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3glox + 5glox2 = 0 + 7 -3glox + 5glox2 = 0 + 7 Combine like terms: 0 + 7 = 7 -3glox + 5glox2 = 7 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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