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Simplifying ln(8x + 3) + -1ln(5x) = ln(3) Reorder the terms: ln(3 + 8x) + -1ln(5x) = ln(3) (3 * ln + 8x * ln) + -1ln(5x) = ln(3) (3ln + 8lnx) + -1ln(5x) = ln(3) Remove parenthesis around (5x) 3ln + 8lnx + -1ln * 5x = ln(3) Reorder the terms for easier multiplication: 3ln + 8lnx + -1 * 5ln * x = ln(3) Multiply -1 * 5 3ln + 8lnx + -5ln * x = ln(3) Multiply ln * x 3ln + 8lnx + -5lnx = ln(3) Combine like terms: 8lnx + -5lnx = 3lnx 3ln + 3lnx = ln(3) Reorder the terms for easier multiplication: 3ln + 3lnx = 3ln Add '-3ln' to each side of the equation. 3ln + -3ln + 3lnx = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 0 + 3lnx = 3ln + -3ln 3lnx = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 3lnx = 0 Solving 3lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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