2ln(x)-ln(3x+10)=0

Simple and best practice solution for 2ln(x)-ln(3x+10)=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 2ln(x)-ln(3x+10)=0 equation: 


Simplifying
2ln(x) + -1ln(3x + 10) = 0

Multiply ln * x
2lnx + -1ln(3x + 10) = 0

Reorder the terms:
2lnx + -1ln(10 + 3x) = 0
2lnx + (10 * -1ln + 3x * -1ln) = 0
2lnx + (-10ln + -3lnx) = 0

Reorder the terms:
-10ln + 2lnx + -3lnx = 0

Combine like terms: 2lnx + -3lnx = -1lnx
-10ln + -1lnx = 0

Solving
-10ln + -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), '-1ln'.
-1ln(10 + x) = 0

Ignore the factor -1.

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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Add '-1x' to each side of the equation.
x + -1x = -10 + -1x

Combine like terms: x + -1x = 0
0 = -10 + -1x

Simplifying
0 = -10 + -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:

| 6x=3(x+4) | | -4(2+r)=12 | | -16+6=-10+7 | | 8x+9=4x+3 | | 2+9+x=8+3 | | X-2x=44 | | (3y+8)-(3y-7)= | | -12+x=40 | | xy*dx-(x^2+2y^2)*dy=0 | | 8/9+x=6/7 | | 5x-7=2(2x+2) | | 5z-7=2(2z+2) | | 9x+20+7x-6=142 | | 12x^2=5x+2 | | 23x+13y=-5 | | y=x^2-10x-y | | 0=-x^2+100x-2500 | | 6/18x+14 | | x(.2)=9000 | | 2e^3/25x=17 | | A=y-(0.1*y+10) | | 1/2(3m+1)=9m/4 | | 1/2(11+2x)=2/3(x+1)+x/2 | | 3-(9m-15)=4(m-2) | | q=2h | | 6y+(-9)=6y+3 | | 3x^4-48y^2=0 | | 5x-9=2x/3 | | 90-x=1/2(x) | | 180-x=x+42 | | 3x^5+36x^4=0 | | 7.3x=73.0 |

Equations solver categories