Ln(x+4)=ln(7x)

Simple and best practice solution for Ln(x+4)=ln(7x) 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+4)=ln(7x) equation: 


Simplifying
Ln(x + 4) = ln(7x)

Reorder the terms:
nL(4 + x) = ln(7x)
(4 * nL + x * nL) = ln(7x)
(4nL + nxL) = ln(7x)

Remove parenthesis around (7x)
4nL + nxL = ln * 7x

Reorder the terms for easier multiplication:
4nL + nxL = 7ln * x

Multiply ln * x
4nL + nxL = 7lnx

Solving
4nL + nxL = 7lnx

Solving for variable 'n'.

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

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

Reorder the terms:
-7lnx + 4nL + nxL = 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
-7lnx + 4nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-7lx + 4L + xL) = 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 '(-7lx + 4L + xL)' equal to zero and attempt to solve:

Simplifying
-7lx + 4L + xL = 0

Reorder the terms:
4L + -7lx + xL = 0

Solving
4L + -7lx + xL = 0

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

Add '-4L' to each side of the equation.
4L + -7lx + -4L + xL = 0 + -4L

Reorder the terms:
4L + -4L + -7lx + xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -7lx + xL = 0 + -4L
-7lx + xL = 0 + -4L
Remove the zero:
-7lx + xL = -4L

Add '7lx' to each side of the equation.
-7lx + 7lx + xL = -4L + 7lx

Combine like terms: -7lx + 7lx = 0
0 + xL = -4L + 7lx
xL = -4L + 7lx

Add '-1xL' to each side of the equation.
xL + -1xL = -4L + 7lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -4L + 7lx + -1xL

Simplifying
0 = -4L + 7lx + -1xL

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:

| x=6-4n | | -(15p-1)+24+10+10p=0 | | 14.2+w=15.8 | | 7(x+4)=(7x+23) | | 4=11v | | -15.00+2.00b=25 | | y=1/5(7)+7 | | -5T-2=-17 | | 6.4r-7-2.9r= | | 6+(3m+5)=66 | | 3x^2+4=-13x | | 27=2c-3(6-2c) | | T^2=13 | | -18c=1314 | | 5x+y-3=0 | | 29+4=4-2q | | 2(7+3t)=-1 | | 2z-4-2=4 | | (y^8)(3x^4)=0 | | 5(3x-2)=2(4x-3)+7x | | 700+1.25x=10x | | 8-3(9x-5)=4(2x+7)+3x-3 | | 6(2-0.5h)=4(13-b) | | 4z-20=11z+15 | | 8-3(9x-5)=4(2x+7)+34-3 | | 10g+8=9g | | 60=20m | | 6+8x+6-7x= | | x^6+4x^4-9x^2-36=0 | | 7/12+7/10= | | 4+7x=-(3-2x)-3x | | 0.5x^2+x-12=0 |

Equations solver categories