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Simplifying 10log[4](n + -10) = -10 Reorder the terms: 10glo * 4(-10 + n) = -10 Reorder the terms for easier multiplication: 10 * 4glo(-10 + n) = -10 Multiply 10 * 4 40glo(-10 + n) = -10 (-10 * 40glo + n * 40glo) = -10 Reorder the terms: (40glno + -400glo) = -10 (40glno + -400glo) = -10 Solving 40glno + -400glo = -10 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 10 + 40glno + -400glo = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 40glno + -400glo = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1 + 4glno + -40glo) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + 4glno + -40glo)' equal to zero and attempt to solve: Simplifying 1 + 4glno + -40glo = 0 Solving 1 + 4glno + -40glo = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4glno + -1 + -40glo = 0 + -1 Reorder the terms: 1 + -1 + 4glno + -40glo = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4glno + -40glo = 0 + -1 4glno + -40glo = 0 + -1 Combine like terms: 0 + -1 = -1 4glno + -40glo = -1 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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