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Simplifying log7(x + -28) = log7(8x) Reorder the terms: g7lo(-28 + x) = log7(8x) (-28 * g7lo + x * g7lo) = log7(8x) (-28g7lo + g7lox) = log7(8x) Remove parenthesis around (8x) -28g7lo + g7lox = g7lo * 8x Reorder the terms for easier multiplication: -28g7lo + g7lox = 8g7lo * x Multiply g7lo * x -28g7lo + g7lox = 8g7lox Solving -28g7lo + g7lox = 8g7lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g7lox' to each side of the equation. -28g7lo + g7lox + -8g7lox = 8g7lox + -8g7lox Combine like terms: g7lox + -8g7lox = -7g7lox -28g7lo + -7g7lox = 8g7lox + -8g7lox Combine like terms: 8g7lox + -8g7lox = 0 -28g7lo + -7g7lox = 0 Factor out the Greatest Common Factor (GCF), '-7g7lo'. -7g7lo(4 + x) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'g7lo' equal to zero and attempt to solve: Simplifying g7lo = 0 Solving g7lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g7lo = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -1x 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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