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Simplifying ln(x) + ln(x + 4) = ln(2x + 35) Multiply ln * x lnx + ln(x + 4) = ln(2x + 35) Reorder the terms: lnx + ln(4 + x) = ln(2x + 35) lnx + (4 * ln + x * ln) = ln(2x + 35) lnx + (4ln + lnx) = ln(2x + 35) Reorder the terms: 4ln + lnx + lnx = ln(2x + 35) Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = ln(2x + 35) Reorder the terms: 4ln + 2lnx = ln(35 + 2x) 4ln + 2lnx = (35 * ln + 2x * ln) 4ln + 2lnx = (35ln + 2lnx) Add '-2lnx' to each side of the equation. 4ln + 2lnx + -2lnx = 35ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 4ln + 0 = 35ln + 2lnx + -2lnx 4ln = 35ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 4ln = 35ln + 0 4ln = 35ln Solving 4ln = 35ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-35ln' to each side of the equation. 4ln + -35ln = 35ln + -35ln Combine like terms: 4ln + -35ln = -31ln -31ln = 35ln + -35ln Combine like terms: 35ln + -35ln = 0 -31ln = 0 Divide each side by '-31'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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