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Simplifying Log7(2x + 5) = log7(x + -3) Reorder the terms: g7oL(5 + 2x) = log7(x + -3) (5 * g7oL + 2x * g7oL) = log7(x + -3) (5g7oL + 2g7oxL) = log7(x + -3) Reorder the terms: 5g7oL + 2g7oxL = g7lo(-3 + x) 5g7oL + 2g7oxL = (-3 * g7lo + x * g7lo) 5g7oL + 2g7oxL = (-3g7lo + g7lox) Solving 5g7oL + 2g7oxL = -3g7lo + g7lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g7lo' to each side of the equation. 5g7oL + 3g7lo + 2g7oxL = -3g7lo + 3g7lo + g7lox Reorder the terms: 3g7lo + 5g7oL + 2g7oxL = -3g7lo + 3g7lo + g7lox Combine like terms: -3g7lo + 3g7lo = 0 3g7lo + 5g7oL + 2g7oxL = 0 + g7lox 3g7lo + 5g7oL + 2g7oxL = g7lox Add '-1g7lox' to each side of the equation. 3g7lo + 5g7oL + -1g7lox + 2g7oxL = g7lox + -1g7lox Reorder the terms: 3g7lo + -1g7lox + 5g7oL + 2g7oxL = g7lox + -1g7lox Combine like terms: g7lox + -1g7lox = 0 3g7lo + -1g7lox + 5g7oL + 2g7oxL = 0 Factor out the Greatest Common Factor (GCF), 'g7o'. g7o(3l + -1lx + 5L + 2xL) = 0Subproblem 1
Set the factor 'g7o' equal to zero and attempt to solve: Simplifying g7o = 0 Solving g7o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g7o = 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 '(3l + -1lx + 5L + 2xL)' equal to zero and attempt to solve: Simplifying 3l + -1lx + 5L + 2xL = 0 Reorder the terms: 5L + 3l + -1lx + 2xL = 0 Solving 5L + 3l + -1lx + 2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + 3l + -1lx + -5L + 2xL = 0 + -5L Reorder the terms: 5L + -5L + 3l + -1lx + 2xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + 3l + -1lx + 2xL = 0 + -5L 3l + -1lx + 2xL = 0 + -5L Remove the zero: 3l + -1lx + 2xL = -5L Add '-3l' to each side of the equation. 3l + -1lx + -3l + 2xL = -5L + -3l Reorder the terms: 3l + -3l + -1lx + 2xL = -5L + -3l Combine like terms: 3l + -3l = 0 0 + -1lx + 2xL = -5L + -3l -1lx + 2xL = -5L + -3l Add 'lx' to each side of the equation. -1lx + lx + 2xL = -5L + -3l + lx Combine like terms: -1lx + lx = 0 0 + 2xL = -5L + -3l + lx 2xL = -5L + -3l + lx Add '-2xL' to each side of the equation. 2xL + -2xL = -5L + -3l + lx + -2xL Combine like terms: 2xL + -2xL = 0 0 = -5L + -3l + lx + -2xL Simplifying 0 = -5L + -3l + lx + -2xL 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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