Ln(2x+3)=ln(7x-2)

Simple and best practice solution for Ln(2x+3)=ln(7x-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+3)=ln(7x-2) equation: 


Simplifying
Ln(2x + 3) = ln(7x + -2)

Reorder the terms:
nL(3 + 2x) = ln(7x + -2)
(3 * nL + 2x * nL) = ln(7x + -2)
(3nL + 2nxL) = ln(7x + -2)

Reorder the terms:
3nL + 2nxL = ln(-2 + 7x)
3nL + 2nxL = (-2 * ln + 7x * ln)
3nL + 2nxL = (-2ln + 7lnx)

Solving
3nL + 2nxL = -2ln + 7lnx

Solving for variable 'n'.

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

Add '2ln' to each side of the equation.
3nL + 2ln + 2nxL = -2ln + 2ln + 7lnx

Reorder the terms:
2ln + 3nL + 2nxL = -2ln + 2ln + 7lnx

Combine like terms: -2ln + 2ln = 0
2ln + 3nL + 2nxL = 0 + 7lnx
2ln + 3nL + 2nxL = 7lnx

Add '-7lnx' to each side of the equation.
2ln + 3nL + -7lnx + 2nxL = 7lnx + -7lnx

Reorder the terms:
2ln + -7lnx + 3nL + 2nxL = 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
2ln + -7lnx + 3nL + 2nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -7lx + 3L + 2xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(2l + -7lx + 3L + 2xL)' equal to zero and attempt to solve:

Simplifying
2l + -7lx + 3L + 2xL = 0

Reorder the terms:
3L + 2l + -7lx + 2xL = 0

Solving
3L + 2l + -7lx + 2xL = 0

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

Add '-3L' to each side of the equation.
3L + 2l + -7lx + -3L + 2xL = 0 + -3L

Reorder the terms:
3L + -3L + 2l + -7lx + 2xL = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + 2l + -7lx + 2xL = 0 + -3L
2l + -7lx + 2xL = 0 + -3L
Remove the zero:
2l + -7lx + 2xL = -3L

Add '-2l' to each side of the equation.
2l + -7lx + -2l + 2xL = -3L + -2l

Reorder the terms:
2l + -2l + -7lx + 2xL = -3L + -2l

Combine like terms: 2l + -2l = 0
0 + -7lx + 2xL = -3L + -2l
-7lx + 2xL = -3L + -2l

Add '7lx' to each side of the equation.
-7lx + 7lx + 2xL = -3L + -2l + 7lx

Combine like terms: -7lx + 7lx = 0
0 + 2xL = -3L + -2l + 7lx
2xL = -3L + -2l + 7lx

Add '-2xL' to each side of the equation.
2xL + -2xL = -3L + -2l + 7lx + -2xL

Combine like terms: 2xL + -2xL = 0
0 = -3L + -2l + 7lx + -2xL

Simplifying
0 = -3L + -2l + 7lx + -2xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

See similar equations:

| 2r^2-r-3=0 | | f=9/5.92+32 | | 17[x+5]=0 | | y=3/(7-x) | | x-1/3=11/12 | | .2y+4=10 | | x/3-5 | | y=1-2*-1 | | y=1-2x-1 | | 3x^2+21x+108=0 | | c=3t+46 | | 5/3x=4 | | y=3/7-x | | c=10t-5 | | 1.4x=x+8 | | a=7b+11 | | 64v^2-1=0 | | v^2+v-42=0 | | 3b+1=b-1 | | d/2+3d=14 | | f(x)=3x^3+5-11x+3 | | u^2-12u+36= | | 6x-4=2x-7 | | y=-x^2-2 | | 3x+2=1x+2 | | 3(x+5)2=60 | | 81s^2-4=0 | | 89a+22b=666000 | | (5a^3+3a-2)-(4a^3+a^2+5)= | | 9+10=17 | | -5/7+y=3 | | 8x+5=7x+11 |

Equations solver categories