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Simplifying log(t + -3) = log(17 + -14t) Reorder the terms: glo(-3 + t) = log(17 + -14t) (-3 * glo + t * glo) = log(17 + -14t) (-3glo + glot) = log(17 + -14t) -3glo + glot = (17 * glo + -14t * glo) -3glo + glot = (17glo + -14glot) Solving -3glo + glot = 17glo + -14glot Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17glo' to each side of the equation. -3glo + -17glo + glot = 17glo + -17glo + -14glot Combine like terms: -3glo + -17glo = -20glo -20glo + glot = 17glo + -17glo + -14glot Combine like terms: 17glo + -17glo = 0 -20glo + glot = 0 + -14glot -20glo + glot = -14glot Add '14glot' to each side of the equation. -20glo + glot + 14glot = -14glot + 14glot Combine like terms: glot + 14glot = 15glot -20glo + 15glot = -14glot + 14glot Combine like terms: -14glot + 14glot = 0 -20glo + 15glot = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-4 + 3t) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 + 3t)' equal to zero and attempt to solve: Simplifying -4 + 3t = 0 Solving -4 + 3t = 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 + 3t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 0 + 4 3t = 0 + 4 Combine like terms: 0 + 4 = 4 3t = 4 Add '-3t' to each side of the equation. 3t + -3t = 4 + -3t Combine like terms: 3t + -3t = 0 0 = 4 + -3t Simplifying 0 = 4 + -3t 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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