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Simplifying Log(2v) = log(5v + -9) Remove parenthesis around (2v) goL * 2v = log(5v + -9) Reorder the terms for easier multiplication: 2goL * v = log(5v + -9) Multiply goL * v 2govL = log(5v + -9) Reorder the terms: 2govL = glo(-9 + 5v) 2govL = (-9 * glo + 5v * glo) 2govL = (-9glo + 5glov) Solving 2govL = -9glo + 5glov Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9glo' to each side of the equation. 9glo + 2govL = -9glo + 9glo + 5glov Combine like terms: -9glo + 9glo = 0 9glo + 2govL = 0 + 5glov 9glo + 2govL = 5glov Add '-5glov' to each side of the equation. 9glo + -5glov + 2govL = 5glov + -5glov Combine like terms: 5glov + -5glov = 0 9glo + -5glov + 2govL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(9l + -5lv + 2vL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(9l + -5lv + 2vL)' equal to zero and attempt to solve: Simplifying 9l + -5lv + 2vL = 0 Solving 9l + -5lv + 2vL = 0 Move all terms containing g to the left, all other terms to the right. Add '-9l' to each side of the equation. 9l + -5lv + -9l + 2vL = 0 + -9l Reorder the terms: 9l + -9l + -5lv + 2vL = 0 + -9l Combine like terms: 9l + -9l = 0 0 + -5lv + 2vL = 0 + -9l -5lv + 2vL = 0 + -9l Remove the zero: -5lv + 2vL = -9l Add '5lv' to each side of the equation. -5lv + 5lv + 2vL = -9l + 5lv Combine like terms: -5lv + 5lv = 0 0 + 2vL = -9l + 5lv 2vL = -9l + 5lv Add '-2vL' to each side of the equation. 2vL + -2vL = -9l + 5lv + -2vL Combine like terms: 2vL + -2vL = 0 0 = -9l + 5lv + -2vL Simplifying 0 = -9l + 5lv + -2vL 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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