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Simplifying 3ln(x) + 2x = 3ln(20) + ln(10) Multiply ln * x 3lnx + 2x = 3ln(20) + ln(10) Reorder the terms for easier multiplication: 3lnx + 2x = 3 * 20ln + ln(10) Multiply 3 * 20 3lnx + 2x = 60ln + ln(10) Reorder the terms for easier multiplication: 3lnx + 2x = 60ln + 10ln Combine like terms: 60ln + 10ln = 70ln 3lnx + 2x = 70ln Solving 3lnx + 2x = 70ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-70ln' to each side of the equation. 3lnx + -70ln + 2x = 70ln + -70ln Reorder the terms: -70ln + 3lnx + 2x = 70ln + -70ln Combine like terms: 70ln + -70ln = 0 -70ln + 3lnx + 2x = 0 Add '-2x' to each side of the equation. -70ln + 3lnx + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -70ln + 3lnx + 0 = 0 + -2x -70ln + 3lnx = 0 + -2x Remove the zero: -70ln + 3lnx = -2x Combine like terms: -2x + 2x = 0 -70ln + 3lnx + 2x = 0 The solution to this equation could not be determined.
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