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Simplifying ln(3x + -2) + -1ln(4x + 3) = -4 + -1LN(2) Reorder the terms: ln(-2 + 3x) + -1ln(4x + 3) = -4 + -1LN(2) (-2 * ln + 3x * ln) + -1ln(4x + 3) = -4 + -1LN(2) (-2ln + 3lnx) + -1ln(4x + 3) = -4 + -1LN(2) Reorder the terms: -2ln + 3lnx + -1ln(3 + 4x) = -4 + -1LN(2) -2ln + 3lnx + (3 * -1ln + 4x * -1ln) = -4 + -1LN(2) -2ln + 3lnx + (-3ln + -4lnx) = -4 + -1LN(2) Reorder the terms: -2ln + -3ln + 3lnx + -4lnx = -4 + -1LN(2) Combine like terms: -2ln + -3ln = -5ln -5ln + 3lnx + -4lnx = -4 + -1LN(2) Combine like terms: 3lnx + -4lnx = -1lnx -5ln + -1lnx = -4 + -1LN(2) Reorder the terms for easier multiplication: -5ln + -1lnx = -4 + -1 * 2LN Multiply -1 * 2 -5ln + -1lnx = -4 + -2LN Solving -5ln + -1lnx = -4 + -2LN Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 4 + 2LN + -5ln + -1lnx = -4 + -2LN + 4 + 2LN Reorder the terms: 4 + 2LN + -5ln + -1lnx = -4 + 4 + -2LN + 2LN Combine like terms: -4 + 4 = 0 4 + 2LN + -5ln + -1lnx = 0 + -2LN + 2LN 4 + 2LN + -5ln + -1lnx = -2LN + 2LN Combine like terms: -2LN + 2LN = 0 4 + 2LN + -5ln + -1lnx = 0 The solution to this equation could not be determined.
| 3=2x+25 | | 20.24=5.8j+3.4j | | x*.027=160 | | 45+x=76 | | 6m-6n-6n-6m= | | -7.4-10.4g=-14.9-11.7g+0.3g | | x*1.027=160 | | 10p+60=69p | | 160*x=.027 | | -28=-8+5v | | -5a+(2b-3a)-(2a+5b)= | | 7.3y+y=10 | | -7+v=-8 | | -78+4x+2x=24 | | 25z^2-36= | | 14.87-0.7w=-17.25-15.3w | | 8+y=-4 | | 7x-16=64-3x | | 160*1.027=x | | 2+x=6x+2.4 | | 2s=s+12 | | 3(1-6n)+5(n-3)=79 | | -8x+10x-29=19 | | x+9=3x+15 | | -18+14u=16u+17-7 | | 7x=4y+20 | | .027*x=160 | | 4x-16-2x=(x-8) | | 3v=3.84 | | 20x+262.5(10-X)=250 | | x-(4+2x)=14 | | 160*.027= |