ln(x+7)ln(x-5)=2lnx

Simple and best practice solution for ln(x+7)ln(x-5)=2lnx equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(x+7)ln(x-5)=2lnx equation: 


Simplifying
ln(x + 7) * ln(x + -5) = 2lnx

Reorder the terms:
ln(7 + x) * ln(x + -5) = 2lnx

Reorder the terms:
ln(7 + x) * ln(-5 + x) = 2lnx

Reorder the terms for easier multiplication:
ln * ln(7 + x)(-5 + x) = 2lnx

Multiply ln * ln
l2n2(7 + x)(-5 + x) = 2lnx

Multiply (7 + x) * (-5 + x)
l2n2(7(-5 + x) + x(-5 + x)) = 2lnx
l2n2((-5 * 7 + x * 7) + x(-5 + x)) = 2lnx
l2n2((-35 + 7x) + x(-5 + x)) = 2lnx
l2n2(-35 + 7x + (-5 * x + x * x)) = 2lnx
l2n2(-35 + 7x + (-5x + x2)) = 2lnx

Combine like terms: 7x + -5x = 2x
l2n2(-35 + 2x + x2) = 2lnx
(-35 * l2n2 + 2x * l2n2 + x2 * l2n2) = 2lnx
(-35l2n2 + 2l2n2x + l2n2x2) = 2lnx

Solving
-35l2n2 + 2l2n2x + l2n2x2 = 2lnx

Solving for variable 'l'.

Reorder the terms:
-2lnx + -35l2n2 + 2l2n2x + l2n2x2 = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-2lnx + -35l2n2 + 2l2n2x + l2n2x2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-2x + -35ln + 2lnx + lnx2) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2x + -35ln + 2lnx + lnx2)' equal to zero and attempt to solve:

Simplifying
-2x + -35ln + 2lnx + lnx2 = 0

Reorder the terms:
-35ln + 2lnx + lnx2 + -2x = 0

Solving
-35ln + 2lnx + lnx2 + -2x = 0

Move all terms containing l to the left, all other terms to the right.

Add '2x' to each side of the equation.
-35ln + 2lnx + lnx2 + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
-35ln + 2lnx + lnx2 + 0 = 0 + 2x
-35ln + 2lnx + lnx2 = 0 + 2x
Remove the zero:
-35ln + 2lnx + lnx2 = 2x

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.

See similar equations:

| 3x^2-27x+30=0 | | 2v+11=5v-2 | | 5368=56+56 | | x^2-8x-51=-3 | | 7x^3+2x^2-6x-1=0 | | 26x+13=5(5x+4) | | -12=x+16 | | -17y+7(5+6y)= | | 15a^5+211a^3b^2+14ab^4=0 | | 3x+45=67 | | 4*8-x=3*9+x | | 7x^2y^2+23xy+1=0 | | 4.8-x=3.9+x | | 11t^4-30t^2-125=0 | | (3+4a)=a+17 | | 2t^2+3t^2-27=0 | | 4a+9=a+34 | | -3+57x-54x^2=0 | | 2M-4+1=29 | | 2x^4-13x^3+12x^2+52x-80=0 | | 27+w=4w | | 29=4-2M+M+1 | | M+1=29 | | 81p^4-90p^3+25p^2=0 | | 4-2M+M+1=29 | | (180-x)-(90-x)*2=60 | | 12x^2+76x-25=0 | | 3=4y+7 | | (7y+4)-(3+6y)=4 | | 2y-5=1y(1y)-62 | | -5+4x=-25 | | 3(x+1.85)=2x |

Equations solver categories