ln(2x-1)+ln(2x+1)=ln(7)

Simple and best practice solution for ln(2x-1)+ln(2x+1)=ln(7) 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-1)+ln(2x+1)=ln(7) equation: 


Simplifying
ln(2x + -1) + ln(2x + 1) = ln(7)

Reorder the terms:
ln(-1 + 2x) + ln(2x + 1) = ln(7)
(-1 * ln + 2x * ln) + ln(2x + 1) = ln(7)
(-1ln + 2lnx) + ln(2x + 1) = ln(7)

Reorder the terms:
-1ln + 2lnx + ln(1 + 2x) = ln(7)
-1ln + 2lnx + (1 * ln + 2x * ln) = ln(7)
-1ln + 2lnx + (1ln + 2lnx) = ln(7)

Reorder the terms:
-1ln + 1ln + 2lnx + 2lnx = ln(7)

Combine like terms: -1ln + 1ln = 0
0 + 2lnx + 2lnx = ln(7)
2lnx + 2lnx = ln(7)

Combine like terms: 2lnx + 2lnx = 4lnx
4lnx = ln(7)

Reorder the terms for easier multiplication:
4lnx = 7ln

Solving
4lnx = 7ln

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
-7ln + 4lnx = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
-7ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-7 + 4x) = 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 '(-7 + 4x)' equal to zero and attempt to solve:

Simplifying
-7 + 4x = 0

Solving
-7 + 4x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 0 + 7
4x = 0 + 7

Combine like terms: 0 + 7 = 7
4x = 7

Add '-4x' to each side of the equation.
4x + -4x = 7 + -4x

Combine like terms: 4x + -4x = 0
0 = 7 + -4x

Simplifying
0 = 7 + -4x

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:

| x-y-2+y+2y-1=0 | | -2(-7-x)+7(4x+5)=19 | | 12/12=-1/q | | 4(y+3)=-2(x+6) | | 6-12cos(2x)=0 | | -7=v-6+5 | | 5(3-2y)+8y=7 | | ln(2x-1)+ln(2x+1)-ln(7)=0 | | -6g+36=28 | | x/49=1/7 | | -6(-5+6p)-3=2p+27 | | 0.8(4-0)=5.6a | | 2+5x=-5x+72 | | 1/6=-h/24 | | (n+7)+(3n+4)+(2n-12)+n=90 | | (x+2)(x-1)(x+3)=0 | | 75y=37(2y+5) | | ln(3x)+ln(2x)=17 | | x/3-5=-18 | | z/15=9/45 | | 13=a+9 | | N/-20=5 | | 3(-4x+1)+5(x+8)=78 | | (x+1)(x-1)(x+3)=0 | | 36/24=2/x | | 7x-9-2x=11 | | x+10=8x-11 | | 8(2+8x)=-40+8x | | 6(3x-12)+8=16 | | ln(2x-1)+ln(2x+1)=0 | | -92=-8y | | x/100=-1/50 |

Equations solver categories