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Simplifying log2(3x + -10) = log2(14 + -1x) Reorder the terms: g2lo(-10 + 3x) = log2(14 + -1x) (-10 * g2lo + 3x * g2lo) = log2(14 + -1x) (-10g2lo + 3g2lox) = log2(14 + -1x) -10g2lo + 3g2lox = (14 * g2lo + -1x * g2lo) -10g2lo + 3g2lox = (14g2lo + -1g2lox) Solving -10g2lo + 3g2lox = 14g2lo + -1g2lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g2lo' to each side of the equation. -10g2lo + -14g2lo + 3g2lox = 14g2lo + -14g2lo + -1g2lox Combine like terms: -10g2lo + -14g2lo = -24g2lo -24g2lo + 3g2lox = 14g2lo + -14g2lo + -1g2lox Combine like terms: 14g2lo + -14g2lo = 0 -24g2lo + 3g2lox = 0 + -1g2lox -24g2lo + 3g2lox = -1g2lox Add 'g2lox' to each side of the equation. -24g2lo + 3g2lox + g2lox = -1g2lox + g2lox Combine like terms: 3g2lox + g2lox = 4g2lox -24g2lo + 4g2lox = -1g2lox + g2lox Combine like terms: -1g2lox + g2lox = 0 -24g2lo + 4g2lox = 0 Factor out the Greatest Common Factor (GCF), '4g2lo'. 4g2lo(-6 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'g2lo' equal to zero and attempt to solve: Simplifying g2lo = 0 Solving g2lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2lo = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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