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Simplifying ln(X) = ln(X + 6) + -1(X + -4) Multiply ln * X lnX = ln(X + 6) + -1(X + -4) Reorder the terms: lnX = ln(6 + X) + -1(X + -4) lnX = (6 * ln + X * ln) + -1(X + -4) lnX = (6ln + lnX) + -1(X + -4) Reorder the terms: lnX = 6ln + lnX + -1(-4 + X) lnX = 6ln + lnX + (-4 * -1 + X * -1) lnX = 6ln + lnX + (4 + -1X) Reorder the terms: lnX = 4 + -1X + 6ln + lnX Add '-1lnX' to each side of the equation. lnX + -1lnX = 4 + -1X + 6ln + lnX + -1lnX Combine like terms: lnX + -1lnX = 0 0 = 4 + -1X + 6ln + lnX + -1lnX Combine like terms: lnX + -1lnX = 0 0 = 4 + -1X + 6ln + 0 0 = 4 + -1X + 6ln Solving 0 = 4 + -1X + 6ln Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 0 + X = 4 + -1X + X + 6ln Remove the zero: X = 4 + -1X + X + 6ln Combine like terms: -1X + X = 0 X = 4 + 0 + 6ln X = 4 + 6ln Simplifying X = 4 + 6ln
| t-39=-36 | | 3(x-5)=84/14 | | 0.5(3x)+15=x+3 | | -1/6=15/42d | | x+3=0.5(3x)+15 | | 2d^2-1d-26=0 | | 2(x+6)=3x+3 | | f(X)=-5x^2-6-4x | | a=0.50^1/4 | | 4z=45whatisz | | x+3=(3x)+15 | | 3(2x+18)=24 | | -8b+8a+8b-10a= | | 3x-18=60 | | -6y+22=2(y-1) | | f(-5)=5(-5)+40 | | 15p-20=24 | | 8x-2[20-3(x-4)]=1 | | 2xsquared=12x | | -35=6x+1 | | (x+4)*(x+6)= | | 12x^2+3x+5=120 | | 6.2x-3.3=21.5 | | 5x+20=7x-30 | | (7y+5)-(3+6y)=8 | | 12x^2+3x+5=0 | | 50+0.5x=30 | | 50+0.5=30 | | Y+n= | | 9n^2-2p-3n-8=-10 | | P-1/2=2/3 | | X^3+8x^2+4x+32= |