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Simplifying log(8)(-5m + -3) = log(8)(9 + -1m) Reorder the terms: glo * 8(-3 + -5m) = log(8)(9 + -1m) Reorder the terms for easier multiplication: 8glo(-3 + -5m) = log(8)(9 + -1m) (-3 * 8glo + -5m * 8glo) = log(8)(9 + -1m) Reorder the terms: (-40glmo + -24glo) = log(8)(9 + -1m) (-40glmo + -24glo) = log(8)(9 + -1m) Reorder the terms for easier multiplication: -40glmo + -24glo = 8glo(9 + -1m) -40glmo + -24glo = (9 * 8glo + -1m * 8glo) Reorder the terms: -40glmo + -24glo = (-8glmo + 72glo) -40glmo + -24glo = (-8glmo + 72glo) Solving -40glmo + -24glo = -8glmo + 72glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glmo' to each side of the equation. -40glmo + 8glmo + -24glo = -8glmo + 8glmo + 72glo Combine like terms: -40glmo + 8glmo = -32glmo -32glmo + -24glo = -8glmo + 8glmo + 72glo Combine like terms: -8glmo + 8glmo = 0 -32glmo + -24glo = 0 + 72glo -32glmo + -24glo = 72glo Add '-72glo' to each side of the equation. -32glmo + -24glo + -72glo = 72glo + -72glo Combine like terms: -24glo + -72glo = -96glo -32glmo + -96glo = 72glo + -72glo Combine like terms: 72glo + -72glo = 0 -32glmo + -96glo = 0 Factor out the Greatest Common Factor (GCF), '-32glo'. -32glo(m + 3) = 0 Ignore the factor -32.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 '(m + 3)' equal to zero and attempt to solve: Simplifying m + 3 = 0 Reorder the terms: 3 + m = 0 Solving 3 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Add '-1m' to each side of the equation. m + -1m = -3 + -1m Combine like terms: m + -1m = 0 0 = -3 + -1m Simplifying 0 = -3 + -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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