ln(2x)-ln(2)=2

Simple and best practice solution for ln(2x)-ln(2)=2 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(2x)-ln(2)=2 equation:


Simplifying
ln(2x) + -1ln(2) = 2

Remove parenthesis around (2x)
ln * 2x + -1ln(2) = 2

Reorder the terms for easier multiplication:
2ln * x + -1ln(2) = 2

Multiply ln * x
2lnx + -1ln(2) = 2

Reorder the terms for easier multiplication:
2lnx + -1 * 2ln = 2

Multiply -1 * 2
2lnx + -2ln = 2

Reorder the terms:
-2ln + 2lnx = 2

Solving
-2ln + 2lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + -2ln + 2lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

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

| 5x+4=1-5x | | 77=-7(m-7)-5(m-8) | | -7w=-28 | | -1/3x-5=7-x | | 4x^2-18x-1=0 | | I(1-yi)=4+2xi | | 1x-8=157 | | X+(4x)+3=13 | | -(k-5)-3(2-5k)=-43 | | (5/6)X-7=X-10 | | 0.6x+12.6=x-7.44 | | 5(4/5-3x)=15 | | 0.8n+0.9=-0.2n-2.3 | | x-8=157 | | 4(2x+1)=3(2y-6) | | 51-y=158 | | -11x-5=-38 | | m+12=0 | | lnx+ln(x-4)=ln(12) | | x+y+z=157 | | 3(4x-3.1)=7x-9.3 | | 28=2(1+2k)-2(k-7) | | -16=0.2x | | 24=3x-15 | | 0.1x+2=0.2y | | -0.6x+7.87=-0.8x+2.67 | | x(x)-3x-10=0 | | 3n=n+7 | | 5-x-8+6x-4x-8=0 | | 6(4m+4)+5(m-6)=-64 | | x(x)+4x=2x(x)-x+6 | | 6(x-.33)=-2(x+23) |

Equations solver categories