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Simplifying Log2(2m + 8) = log2(4m + 10) Reorder the terms: g2oL(8 + 2m) = log2(4m + 10) (8 * g2oL + 2m * g2oL) = log2(4m + 10) Reorder the terms: (2g2moL + 8g2oL) = log2(4m + 10) (2g2moL + 8g2oL) = log2(4m + 10) Reorder the terms: 2g2moL + 8g2oL = g2lo(10 + 4m) 2g2moL + 8g2oL = (10 * g2lo + 4m * g2lo) Reorder the terms: 2g2moL + 8g2oL = (4g2lmo + 10g2lo) 2g2moL + 8g2oL = (4g2lmo + 10g2lo) Solving 2g2moL + 8g2oL = 4g2lmo + 10g2lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g2lmo' to each side of the equation. 2g2moL + -4g2lmo + 8g2oL = 4g2lmo + -4g2lmo + 10g2lo Reorder the terms: -4g2lmo + 2g2moL + 8g2oL = 4g2lmo + -4g2lmo + 10g2lo Combine like terms: 4g2lmo + -4g2lmo = 0 -4g2lmo + 2g2moL + 8g2oL = 0 + 10g2lo -4g2lmo + 2g2moL + 8g2oL = 10g2lo Add '-10g2lo' to each side of the equation. -4g2lmo + 2g2moL + -10g2lo + 8g2oL = 10g2lo + -10g2lo Reorder the terms: -4g2lmo + -10g2lo + 2g2moL + 8g2oL = 10g2lo + -10g2lo Combine like terms: 10g2lo + -10g2lo = 0 -4g2lmo + -10g2lo + 2g2moL + 8g2oL = 0 Factor out the Greatest Common Factor (GCF), '2g2o'. 2g2o(-2lm + -5l + mL + 4L) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'g2o' equal to zero and attempt to solve: Simplifying g2o = 0 Solving g2o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2o = 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 '(-2lm + -5l + mL + 4L)' equal to zero and attempt to solve: Simplifying -2lm + -5l + mL + 4L = 0 Reorder the terms: 4L + -5l + -2lm + mL = 0 Solving 4L + -5l + -2lm + mL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -5l + -2lm + -4L + mL = 0 + -4L Reorder the terms: 4L + -4L + -5l + -2lm + mL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -5l + -2lm + mL = 0 + -4L -5l + -2lm + mL = 0 + -4L Remove the zero: -5l + -2lm + mL = -4L Add '5l' to each side of the equation. -5l + -2lm + 5l + mL = -4L + 5l Reorder the terms: -5l + 5l + -2lm + mL = -4L + 5l Combine like terms: -5l + 5l = 0 0 + -2lm + mL = -4L + 5l -2lm + mL = -4L + 5l Add '2lm' to each side of the equation. -2lm + 2lm + mL = -4L + 5l + 2lm Combine like terms: -2lm + 2lm = 0 0 + mL = -4L + 5l + 2lm mL = -4L + 5l + 2lm Add '-1mL' to each side of the equation. mL + -1mL = -4L + 5l + 2lm + -1mL Combine like terms: mL + -1mL = 0 0 = -4L + 5l + 2lm + -1mL Simplifying 0 = -4L + 5l + 2lm + -1mL 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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