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Simplifying Ln(4x) + ln(x) = 9 Remove parenthesis around (4x) nL * 4x + ln(x) = 9 Reorder the terms for easier multiplication: 4nL * x + ln(x) = 9 Multiply nL * x 4nxL + ln(x) = 9 Multiply ln * x 4nxL + lnx = 9 Reorder the terms: lnx + 4nxL = 9 Solving lnx + 4nxL = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4nxL' to each side of the equation. lnx + 4nxL + -4nxL = 9 + -4nxL Combine like terms: 4nxL + -4nxL = 0 lnx + 0 = 9 + -4nxL lnx = 9 + -4nxL Divide each side by 'nx'. l = 9n-1x-1 + -4L Simplifying l = 9n-1x-1 + -4L Reorder the terms: l = -4L + 9n-1x-1
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