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Simplifying ln(x) = 3[ln(x + -5) + ln(x + 5)] Multiply ln * x lnx = 3[ln(x + -5) + ln(x + 5)] Reorder the terms: lnx = 3[ln(-5 + x) + ln(x + 5)] lnx = 3[(-5 * ln + x * ln) + ln(x + 5)] lnx = 3[(-5ln + lnx) + ln(x + 5)] Reorder the terms: lnx = 3[-5ln + lnx + ln(5 + x)] lnx = 3[-5ln + lnx + (5 * ln + x * ln)] lnx = 3[-5ln + lnx + (5ln + lnx)] Reorder the terms: lnx = 3[-5ln + 5ln + lnx + lnx] Combine like terms: -5ln + 5ln = 0 lnx = 3[0 + lnx + lnx] lnx = 3[lnx + lnx] Combine like terms: lnx + lnx = 2lnx lnx = 3[2lnx] Remove brackets around [2lnx] lnx = 3 * 2lnx Multiply 3 * 2 lnx = 6lnx Solving lnx = 6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6lnx' to each side of the equation. lnx + -6lnx = 6lnx + -6lnx Combine like terms: lnx + -6lnx = -5lnx -5lnx = 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 -5lnx = 0 Divide each side by '-5'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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