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Simplifying Ln(x) + ln(6) = ln(7) Multiply nL * x nxL + ln(6) = ln(7) Reorder the terms for easier multiplication: nxL + 6ln = ln(7) Reorder the terms: 6ln + nxL = ln(7) Reorder the terms for easier multiplication: 6ln + nxL = 7ln Solving 6ln + nxL = 7ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7ln' to each side of the equation. 6ln + -7ln + nxL = 7ln + -7ln Combine like terms: 6ln + -7ln = -1ln -1ln + nxL = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 -1ln + nxL = 0 Add '-1nxL' to each side of the equation. -1ln + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 -1ln + 0 = 0 + -1nxL -1ln = 0 + -1nxL Remove the zero: -1ln = -1nxL Divide each side by '-1n'. l = xL Simplifying l = xL
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