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Simplifying Logx2 = log(5x + 24) Reorder the terms: gox2L = glo(24 + 5x) gox2L = (24 * glo + 5x * glo) gox2L = (24glo + 5glox) Solving gox2L = 24glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -24glo + gox2L = 24glo + -24glo + 5glox Combine like terms: 24glo + -24glo = 0 -24glo + gox2L = 0 + 5glox -24glo + gox2L = 5glox Add '-5glox' to each side of the equation. -24glo + -5glox + gox2L = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -24glo + -5glox + gox2L = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-24l + -5lx + x2L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-24l + -5lx + x2L)' equal to zero and attempt to solve: Simplifying -24l + -5lx + x2L = 0 Solving -24l + -5lx + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '24l' to each side of the equation. -24l + -5lx + 24l + x2L = 0 + 24l Reorder the terms: -24l + 24l + -5lx + x2L = 0 + 24l Combine like terms: -24l + 24l = 0 0 + -5lx + x2L = 0 + 24l -5lx + x2L = 0 + 24l Remove the zero: -5lx + x2L = 24l Add '5lx' to each side of the equation. -5lx + 5lx + x2L = 24l + 5lx Combine like terms: -5lx + 5lx = 0 0 + x2L = 24l + 5lx x2L = 24l + 5lx Add '-1x2L' to each side of the equation. x2L + -1x2L = 24l + 5lx + -1x2L Combine like terms: x2L + -1x2L = 0 0 = 24l + 5lx + -1x2L Simplifying 0 = 24l + 5lx + -1x2L 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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