ln(5x^2+6x+2)=ln(2x^2-10-3)

Simple and best practice solution for ln(5x^2+6x+2)=ln(2x^2-10-3) 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(5x^2+6x+2)=ln(2x^2-10-3) equation:


Simplifying
ln(5x2 + 6x + 2) = ln(2x2 + -10 + -3)

Reorder the terms:
ln(2 + 6x + 5x2) = ln(2x2 + -10 + -3)
(2 * ln + 6x * ln + 5x2 * ln) = ln(2x2 + -10 + -3)
(2ln + 6lnx + 5lnx2) = ln(2x2 + -10 + -3)

Reorder the terms:
2ln + 6lnx + 5lnx2 = ln(-10 + -3 + 2x2)

Combine like terms: -10 + -3 = -13
2ln + 6lnx + 5lnx2 = ln(-13 + 2x2)
2ln + 6lnx + 5lnx2 = (-13 * ln + 2x2 * ln)
2ln + 6lnx + 5lnx2 = (-13ln + 2lnx2)

Solving
2ln + 6lnx + 5lnx2 = -13ln + 2lnx2

Solving for variable 'l'.

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

Add '13ln' to each side of the equation.
2ln + 6lnx + 13ln + 5lnx2 = -13ln + 13ln + 2lnx2

Reorder the terms:
2ln + 13ln + 6lnx + 5lnx2 = -13ln + 13ln + 2lnx2

Combine like terms: 2ln + 13ln = 15ln
15ln + 6lnx + 5lnx2 = -13ln + 13ln + 2lnx2

Combine like terms: -13ln + 13ln = 0
15ln + 6lnx + 5lnx2 = 0 + 2lnx2
15ln + 6lnx + 5lnx2 = 2lnx2

Add '-2lnx2' to each side of the equation.
15ln + 6lnx + 5lnx2 + -2lnx2 = 2lnx2 + -2lnx2

Combine like terms: 5lnx2 + -2lnx2 = 3lnx2
15ln + 6lnx + 3lnx2 = 2lnx2 + -2lnx2

Combine like terms: 2lnx2 + -2lnx2 = 0
15ln + 6lnx + 3lnx2 = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(5 + 2x + x2) = 0

Ignore the factor 3.

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 '(5 + 2x + x2)' equal to zero and attempt to solve: Simplifying 5 + 2x + x2 = 0 Solving 5 + 2x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + x2 = 0 + -5 2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x + x2 = -5 Add '-2x' to each side of the equation. 2x + -2x + x2 = -5 + -2x Combine like terms: 2x + -2x = 0 0 + x2 = -5 + -2x x2 = -5 + -2x Add '-1x2' to each side of the equation. x2 + -1x2 = -5 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -5 + -2x + -1x2 Simplifying 0 = -5 + -2x + -1x2 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:

| (5-2h)= | | 6[w-0.4][-0.6]=-1.3 | | 12(-4x+5)=32 | | (3g-2)= | | 6x-4=-6 | | 6+5x*5-2x*5=3 | | 18r-7=3+8t | | s=180-360n | | -104.02+149.9= | | 3x+6=3(2+1x) | | 7-2(-1)=y | | 4x-2(1+2x)=5-3(x+2) | | y(-8)=24 | | 9p+14=6p | | 18c^2+57c-10=0 | | 3x^2-x^2-27x+9=0 | | f(z)=z^2+2i | | ln(x^2-4)=7 | | -4(3+x)+2=-3(x-2) | | t-t=3+t | | 2[6-4d]=25-9d | | 5x+(x+2)=5x-2 | | -8-4+(-5)-6= | | (t+7)-(2t+3)-4=0 | | a-(2)(2)+4=19-5 | | 3x^2-13x-13=0 | | -8y=112 | | f(-4)=-3*(-4) | | 4(3x-5)=2(x+8)-6x | | x^3-9x^2+27x-15=5 | | 3x+9=6y+15 | | -6y=-24 |

Equations solver categories