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Simplifying ln(m7) = 7ln(m) Multiply ln * m7 lm7n = 7ln(m) Multiply ln * m lm7n = 7lmn Solving lm7n = 7lmn Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7lmn' to each side of the equation. -7lmn + lm7n = 7lmn + -7lmn Combine like terms: 7lmn + -7lmn = 0 -7lmn + lm7n = 0 Factor out the Greatest Common Factor (GCF), 'lmn'. lmn(-7 + m6) = 0Subproblem 1
Set the factor 'lmn' equal to zero and attempt to solve: Simplifying lmn = 0 Solving lmn = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lmn = 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 '(-7 + m6)' equal to zero and attempt to solve: Simplifying -7 + m6 = 0 Solving -7 + m6 = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + m6 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + m6 = 0 + 7 m6 = 0 + 7 Combine like terms: 0 + 7 = 7 m6 = 7 Add '-1m6' to each side of the equation. m6 + -1m6 = 7 + -1m6 Combine like terms: m6 + -1m6 = 0 0 = 7 + -1m6 Simplifying 0 = 7 + -1m6 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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