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Simplifying ln(10 + -1x) = ln(10 + -0.5x) (10 * ln + -1x * ln) = ln(10 + -0.5x) (10ln + -1lnx) = ln(10 + -0.5x) 10ln + -1lnx = (10 * ln + -0.5x * ln) 10ln + -1lnx = (10ln + -0.5lnx) Add '-10ln' to each side of the equation. 10ln + -10ln + -1lnx = 10ln + -10ln + -0.5lnx Combine like terms: 10ln + -10ln = 0 0 + -1lnx = 10ln + -10ln + -0.5lnx -1lnx = 10ln + -10ln + -0.5lnx Combine like terms: 10ln + -10ln = 0 -1lnx = 0 + -0.5lnx -1lnx = -0.5lnx Solving -1lnx = -0.5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '0.5lnx' to each side of the equation. -1lnx + 0.5lnx = -0.5lnx + 0.5lnx Combine like terms: -1lnx + 0.5lnx = -0.5lnx -0.5lnx = -0.5lnx + 0.5lnx Combine like terms: -0.5lnx + 0.5lnx = 0.0 -0.5lnx = 0.0 Divide each side by '-0.5'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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