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Simplifying 5ln(x + -7) = 20 Reorder the terms: 5ln(-7 + x) = 20 (-7 * 5ln + x * 5ln) = 20 (-35ln + 5lnx) = 20 Solving -35ln + 5lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + -35ln + 5lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -35ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + -7ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -7ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + -7ln + lnx = 0 Solving -4 + -7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -7ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + -7ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7ln + lnx = 0 + 4 -7ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -7ln + lnx = 4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
| z/-12=15 | | 4x+5=3(x+9) | | 4x+5y-9=6 | | 3(x-1)=3x+5-2(-3x-4) | | 5x-3=2(x-1)-2 | | 3(x+1)=3x+5-2(-3x-4) | | (x-3)/x=-3 | | 2.2=6.2+x | | 4(p+17.5)=53.50 | | 300x+180y=17280 | | 40+20+.65x=50+.75x | | 225=9(x+9) | | 3(2x-4)=6x-9 | | 5w-2=-12x | | 1/2x-4/32 | | 5(y+2)=9y+2 | | 144=8(x+8) | | 8v-36=4(v-4) | | 4z=120 | | y-2.3=7.8 | | 3x+10-4x=18 | | 5x/3-1/2=x/6 | | 15+55.45x=57.95x | | 5x-24=-8 | | 15+55.45x=57.95 | | 0.3y=20 | | 45/7x6 | | 1137=158 | | 86-32=n | | (2+5i)+(6-I)= | | 15+55.45=57.95x | | 158=67 |