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Simplifying (ln(x + -3))(ln(x + 2)) = (f * g)(x) Reorder the terms: (ln(-3 + x))(ln(x + 2)) = (f * g)(x) ((-3 * ln + x * ln))(ln(x + 2)) = (f * g)(x) ((-3ln + lnx))(ln(x + 2)) = (f * g)(x) Reorder the terms: (-3ln + lnx)(ln(2 + x)) = (f * g)(x) (-3ln + lnx)((2 * ln + x * ln)) = (f * g)(x) (-3ln + lnx)((2ln + lnx)) = (f * g)(x) Multiply (-3ln + lnx) * (2ln + lnx) (-3ln * (2ln + lnx) + lnx(2ln + lnx)) = (f * g)(x) ((2ln * -3ln + lnx * -3ln) + lnx(2ln + lnx)) = (f * g)(x) ((-6l2n2 + -3l2n2x) + lnx(2ln + lnx)) = (f * g)(x) (-6l2n2 + -3l2n2x + (2ln * lnx + lnx * lnx)) = (f * g)(x) (-6l2n2 + -3l2n2x + (2l2n2x + l2n2x2)) = (f * g)(x) Combine like terms: -3l2n2x + 2l2n2x = -1l2n2x (-6l2n2 + -1l2n2x + l2n2x2) = (f * g)(x) Multiply f * g -6l2n2 + -1l2n2x + l2n2x2 = (fg)(x) Multiply fg * x -6l2n2 + -1l2n2x + l2n2x2 = fgx Solving -6l2n2 + -1l2n2x + l2n2x2 = fgx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -1fgx + -6l2n2 + -1l2n2x + l2n2x2 = fgx + -1fgx Combine like terms: fgx + -1fgx = 0 -1fgx + -6l2n2 + -1l2n2x + l2n2x2 = 0 The solution to this equation could not be determined.
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