ln(2x+3)+ln(x+5)-2lnx=0

Simple and best practice solution for ln(2x+3)+ln(x+5)-2lnx=0 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(x+5)-2lnx=0 equation: 


Simplifying
ln(2x + 3) + ln(x + 5) + -2lnx = 0

Reorder the terms:
ln(3 + 2x) + ln(x + 5) + -2lnx = 0
(3 * ln + 2x * ln) + ln(x + 5) + -2lnx = 0
(3ln + 2lnx) + ln(x + 5) + -2lnx = 0

Reorder the terms:
3ln + 2lnx + ln(5 + x) + -2lnx = 0
3ln + 2lnx + (5 * ln + x * ln) + -2lnx = 0
3ln + 2lnx + (5ln + lnx) + -2lnx = 0

Reorder the terms:
3ln + 5ln + 2lnx + lnx + -2lnx = 0

Combine like terms: 3ln + 5ln = 8ln
8ln + 2lnx + lnx + -2lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
8ln + 3lnx + -2lnx = 0

Combine like terms: 3lnx + -2lnx = 1lnx
8ln + 1lnx = 0

Solving
8ln + 1lnx = 0

Solving for variable 'l'.

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

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:

| 8.59-s=3.86 | | 7x+8=48-3x | | 7x+8=5x+7 | | t+3h=15 | | 5m^2-7m=8 | | m(m+8)= | | Y=x+y-1 | | 9x-7=4-2x | | 3x-6x+27=4x+34 | | W^5=4w-114 | | -6p-8=10 | | 5(3z+2)=4 | | C+4-6c=-2 | | -1/3-3/5w=1/4 | | 2x+2(4x+8)=32+6x | | -5x-5(-6x+21)=95 | | v^2=24+5v | | (4a^3b)-(4a^3b+6ab^2)= | | 4x+6+3z-8=180 | | 2.8y+6.4=44.4 | | -2w-3=7 | | 0.6+44=0.48k+8 | | 0.7(x+4.8y+8)= | | 2=10+4.9x-4.9x^2 | | 5x-y-24=0 | | -1/3-3/5x=1/4 | | 7(4x-10)=14(2x-5) | | 6.4x+2.8y=44.4 | | 20+x+4x=73 | | 360x-2x^2=100 | | 2h+12=-4 | | p^2+7p+15= |

Equations solver categories