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Simplifying Log15(4m + 7) = Log15(3m + 8) Reorder the terms: g15oL(7 + 4m) = Log15(3m + 8) (7 * g15oL + 4m * g15oL) = Log15(3m + 8) Reorder the terms: (4g15moL + 7g15oL) = Log15(3m + 8) (4g15moL + 7g15oL) = Log15(3m + 8) Reorder the terms: 4g15moL + 7g15oL = g15oL(8 + 3m) 4g15moL + 7g15oL = (8 * g15oL + 3m * g15oL) Reorder the terms: 4g15moL + 7g15oL = (3g15moL + 8g15oL) 4g15moL + 7g15oL = (3g15moL + 8g15oL) Solving 4g15moL + 7g15oL = 3g15moL + 8g15oL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g15moL' to each side of the equation. 4g15moL + -3g15moL + 7g15oL = 3g15moL + -3g15moL + 8g15oL Combine like terms: 4g15moL + -3g15moL = 1g15moL 1g15moL + 7g15oL = 3g15moL + -3g15moL + 8g15oL Combine like terms: 3g15moL + -3g15moL = 0 1g15moL + 7g15oL = 0 + 8g15oL 1g15moL + 7g15oL = 8g15oL Add '-8g15oL' to each side of the equation. 1g15moL + 7g15oL + -8g15oL = 8g15oL + -8g15oL Combine like terms: 7g15oL + -8g15oL = -1g15oL 1g15moL + -1g15oL = 8g15oL + -8g15oL Combine like terms: 8g15oL + -8g15oL = 0 1g15moL + -1g15oL = 0 Factor out the Greatest Common Factor (GCF), 'g15oL'. g15oL(m + -1) = 0Subproblem 1
Set the factor 'g15oL' equal to zero and attempt to solve: Simplifying g15oL = 0 Solving g15oL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g15oL = 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 '(m + -1)' equal to zero and attempt to solve: Simplifying m + -1 = 0 Reorder the terms: -1 + m = 0 Solving -1 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m = 0 + 1 m = 0 + 1 Combine like terms: 0 + 1 = 1 m = 1 Add '-1m' to each side of the equation. m + -1m = 1 + -1m Combine like terms: m + -1m = 0 0 = 1 + -1m Simplifying 0 = 1 + -1m 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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