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Simplifying -4ln(x) + 6ln(x) = ln(27x) Multiply ln * x -4lnx + 6ln(x) = ln(27x) Multiply ln * x -4lnx + 6lnx = ln(27x) Combine like terms: -4lnx + 6lnx = 2lnx 2lnx = ln(27x) Remove parenthesis around (27x) 2lnx = ln * 27x Reorder the terms for easier multiplication: 2lnx = 27ln * x Multiply ln * x 2lnx = 27lnx Solving 2lnx = 27lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-27lnx' to each side of the equation. 2lnx + -27lnx = 27lnx + -27lnx Combine like terms: 2lnx + -27lnx = -25lnx -25lnx = 27lnx + -27lnx Combine like terms: 27lnx + -27lnx = 0 -25lnx = 0 Divide each side by '-25'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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