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Simplifying Log12(x2 + -7) = log12(x + 5) Reorder the terms: g12oL(-7 + x2) = log12(x + 5) (-7 * g12oL + x2 * g12oL) = log12(x + 5) (-7g12oL + g12ox2L) = log12(x + 5) Reorder the terms: -7g12oL + g12ox2L = g12lo(5 + x) -7g12oL + g12ox2L = (5 * g12lo + x * g12lo) -7g12oL + g12ox2L = (5g12lo + g12lox) Solving -7g12oL + g12ox2L = 5g12lo + g12lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g12lo' to each side of the equation. -7g12oL + -5g12lo + g12ox2L = 5g12lo + -5g12lo + g12lox Reorder the terms: -5g12lo + -7g12oL + g12ox2L = 5g12lo + -5g12lo + g12lox Combine like terms: 5g12lo + -5g12lo = 0 -5g12lo + -7g12oL + g12ox2L = 0 + g12lox -5g12lo + -7g12oL + g12ox2L = g12lox Add '-1g12lox' to each side of the equation. -5g12lo + -7g12oL + -1g12lox + g12ox2L = g12lox + -1g12lox Reorder the terms: -5g12lo + -1g12lox + -7g12oL + g12ox2L = g12lox + -1g12lox Combine like terms: g12lox + -1g12lox = 0 -5g12lo + -1g12lox + -7g12oL + g12ox2L = 0 Factor out the Greatest Common Factor (GCF), 'g12o'. g12o(-5l + -1lx + -7L + x2L) = 0Subproblem 1
Set the factor 'g12o' equal to zero and attempt to solve: Simplifying g12o = 0 Solving g12o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g12o = 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 '(-5l + -1lx + -7L + x2L)' equal to zero and attempt to solve: Simplifying -5l + -1lx + -7L + x2L = 0 Reorder the terms: -7L + -5l + -1lx + x2L = 0 Solving -7L + -5l + -1lx + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '7L' to each side of the equation. -7L + -5l + -1lx + 7L + x2L = 0 + 7L Reorder the terms: -7L + 7L + -5l + -1lx + x2L = 0 + 7L Combine like terms: -7L + 7L = 0 0 + -5l + -1lx + x2L = 0 + 7L -5l + -1lx + x2L = 0 + 7L Remove the zero: -5l + -1lx + x2L = 7L Add '5l' to each side of the equation. -5l + -1lx + 5l + x2L = 7L + 5l Reorder the terms: -5l + 5l + -1lx + x2L = 7L + 5l Combine like terms: -5l + 5l = 0 0 + -1lx + x2L = 7L + 5l -1lx + x2L = 7L + 5l Add 'lx' to each side of the equation. -1lx + lx + x2L = 7L + 5l + lx Combine like terms: -1lx + lx = 0 0 + x2L = 7L + 5l + lx x2L = 7L + 5l + lx Add '-1x2L' to each side of the equation. x2L + -1x2L = 7L + 5l + lx + -1x2L Combine like terms: x2L + -1x2L = 0 0 = 7L + 5l + lx + -1x2L Simplifying 0 = 7L + 5l + lx + -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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