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Simplifying ln(x) + ln(x + -7) = ln(2x) Multiply ln * x lnx + ln(x + -7) = ln(2x) Reorder the terms: lnx + ln(-7 + x) = ln(2x) lnx + (-7 * ln + x * ln) = ln(2x) lnx + (-7ln + lnx) = ln(2x) Reorder the terms: -7ln + lnx + lnx = ln(2x) Combine like terms: lnx + lnx = 2lnx -7ln + 2lnx = ln(2x) Remove parenthesis around (2x) -7ln + 2lnx = ln * 2x Reorder the terms for easier multiplication: -7ln + 2lnx = 2ln * x Multiply ln * x -7ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. -7ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -7ln + 0 = 2lnx + -2lnx -7ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -7ln = 0 Solving -7ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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