2ln(x+5)=ln(x+2)

Simple and best practice solution for 2ln(x+5)=ln(x+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 2ln(x+5)=ln(x+2) equation: 


Simplifying
2ln(x + 5) = ln(x + 2)

Reorder the terms:
2ln(5 + x) = ln(x + 2)
(5 * 2ln + x * 2ln) = ln(x + 2)
(10ln + 2lnx) = ln(x + 2)

Reorder the terms:
10ln + 2lnx = ln(2 + x)
10ln + 2lnx = (2 * ln + x * ln)
10ln + 2lnx = (2ln + lnx)

Solving
10ln + 2lnx = 2ln + lnx

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
10ln + -2ln + 2lnx = 2ln + -2ln + lnx

Combine like terms: 10ln + -2ln = 8ln
8ln + 2lnx = 2ln + -2ln + lnx

Combine like terms: 2ln + -2ln = 0
8ln + 2lnx = 0 + lnx
8ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
8ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
8ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
8ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(8 + x) = 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Add '-1x' to each side of the equation.
x + -1x = -8 + -1x

Combine like terms: x + -1x = 0
0 = -8 + -1x

Simplifying
0 = -8 + -1x

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:

| (A-21)-100= | | 9f^2+18f-45=0 | | X^3+Y^3=56 | | 5x-(-x+2)=-4 | | 1.75*x=1.25 | | -3(8x-4)=-6 | | 8x-3=8x-2 | | 3x-11=7x+37 | | y^2-4x+4+4x-4=0 | | 6+2.1x=16.5 | | 6+2.1x=15.5 | | f(x)=5x^2+(2x-7)+3 | | -9(y-4)-7y=5(3y) | | 2m-6=16 | | 21x+427+3x=355 | | -9(y-4)-7y=5 | | 1x=-2 | | 4x-4=8x-32 | | 3c+1=1c+1 | | (x-2)(3x-2)(5x-2)(7x-2)=945 | | 3(2)+3(1)= | | 125y/5= | | 37=-177 | | (1/3)(2z-5)-2=(1/2)(x-2) | | (6-3i)+(7-2I)= | | 1*y+7*y=32 | | 68=1/5(20x=50)=2 | | 641/21 | | 3x+2x-4=5+2-3 | | 30x^2-61x+30=0 | | 40x^2-53x=-30 | | 37c=-177 |

Equations solver categories