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Simplifying ln(10 + -4x) = ln(10 + -3x) (10 * ln + -4x * ln) = ln(10 + -3x) (10ln + -4lnx) = ln(10 + -3x) 10ln + -4lnx = (10 * ln + -3x * ln) 10ln + -4lnx = (10ln + -3lnx) Add '-10ln' to each side of the equation. 10ln + -10ln + -4lnx = 10ln + -10ln + -3lnx Combine like terms: 10ln + -10ln = 0 0 + -4lnx = 10ln + -10ln + -3lnx -4lnx = 10ln + -10ln + -3lnx Combine like terms: 10ln + -10ln = 0 -4lnx = 0 + -3lnx -4lnx = -3lnx Solving -4lnx = -3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3lnx' to each side of the equation. -4lnx + 3lnx = -3lnx + 3lnx Combine like terms: -4lnx + 3lnx = -1lnx -1lnx = -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 -1lnx = 0 Divide each side by '-1'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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