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Simplifying log(8)(-3s + 12) = log(8)(-7s + 4) Reorder the terms: glo * 8(12 + -3s) = log(8)(-7s + 4) Reorder the terms for easier multiplication: 8glo(12 + -3s) = log(8)(-7s + 4) (12 * 8glo + -3s * 8glo) = log(8)(-7s + 4) (96glo + -24glos) = log(8)(-7s + 4) Reorder the terms: 96glo + -24glos = glo * 8(4 + -7s) Reorder the terms for easier multiplication: 96glo + -24glos = 8glo(4 + -7s) 96glo + -24glos = (4 * 8glo + -7s * 8glo) 96glo + -24glos = (32glo + -56glos) Solving 96glo + -24glos = 32glo + -56glos Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-32glo' to each side of the equation. 96glo + -32glo + -24glos = 32glo + -32glo + -56glos Combine like terms: 96glo + -32glo = 64glo 64glo + -24glos = 32glo + -32glo + -56glos Combine like terms: 32glo + -32glo = 0 64glo + -24glos = 0 + -56glos 64glo + -24glos = -56glos Add '56glos' to each side of the equation. 64glo + -24glos + 56glos = -56glos + 56glos Combine like terms: -24glos + 56glos = 32glos 64glo + 32glos = -56glos + 56glos Combine like terms: -56glos + 56glos = 0 64glo + 32glos = 0 Factor out the Greatest Common Factor (GCF), '32glo'. 32glo(2 + s) = 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 '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Add '-1s' to each side of the equation. s + -1s = -2 + -1s Combine like terms: s + -1s = 0 0 = -2 + -1s Simplifying 0 = -2 + -1s 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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