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Simplifying (Log5 * x) + log5(x + 1) = log5 * 20 Multiply g5oL * x (g5oxL) + log5(x + 1) = log5 * 20 g5oxL + log5(x + 1) = log5 * 20 Reorder the terms: g5oxL + g5lo(1 + x) = log5 * 20 g5oxL + (1 * g5lo + x * g5lo) = log5 * 20 g5oxL + (1g5lo + g5lox) = log5 * 20 Reorder the terms: 1g5lo + g5lox + g5oxL = log5 * 20 Reorder the terms for easier multiplication: 1g5lo + g5lox + g5oxL = 20g5lo Solving 1g5lo + g5lox + g5oxL = 20g5lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20g5lo' to each side of the equation. 1g5lo + g5lox + -20g5lo + g5oxL = 20g5lo + -20g5lo Reorder the terms: 1g5lo + -20g5lo + g5lox + g5oxL = 20g5lo + -20g5lo Combine like terms: 1g5lo + -20g5lo = -19g5lo -19g5lo + g5lox + g5oxL = 20g5lo + -20g5lo Combine like terms: 20g5lo + -20g5lo = 0 -19g5lo + g5lox + g5oxL = 0 Factor out the Greatest Common Factor (GCF), 'g5o'. g5o(-19l + lx + xL) = 0Subproblem 1
Set the factor 'g5o' equal to zero and attempt to solve: Simplifying g5o = 0 Solving g5o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g5o = 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 '(-19l + lx + xL)' equal to zero and attempt to solve: Simplifying -19l + lx + xL = 0 Solving -19l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '19l' to each side of the equation. -19l + lx + 19l + xL = 0 + 19l Reorder the terms: -19l + 19l + lx + xL = 0 + 19l Combine like terms: -19l + 19l = 0 0 + lx + xL = 0 + 19l lx + xL = 0 + 19l Remove the zero: lx + xL = 19l Add '-1lx' to each side of the equation. lx + -1lx + xL = 19l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 19l + -1lx xL = 19l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 19l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 19l + -1lx + -1xL Simplifying 0 = 19l + -1lx + -1xL 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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