12*ln(x)-10*ln(x)=ln(x+30)

Simple and best practice solution for 12*ln(x)-10*ln(x)=ln(x+30) 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 12*ln(x)-10*ln(x)=ln(x+30) equation: 


Simplifying
12ln(x) + -10ln(x) = ln(x + 30)

Multiply ln * x
12lnx + -10ln(x) = ln(x + 30)

Multiply ln * x
12lnx + -10lnx = ln(x + 30)

Combine like terms: 12lnx + -10lnx = 2lnx
2lnx = ln(x + 30)

Reorder the terms:
2lnx = ln(30 + x)
2lnx = (30 * ln + x * ln)
2lnx = (30ln + lnx)

Solving
2lnx = 30ln + lnx

Solving for variable 'l'.

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

Add '-30ln' to each side of the equation.
-30ln + 2lnx = 30ln + -30ln + lnx

Combine like terms: 30ln + -30ln = 0
-30ln + 2lnx = 0 + lnx
-30ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
-30ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
-30ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-30ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-30 + 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 '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Add '-1x' to each side of the equation.
x + -1x = 30 + -1x

Combine like terms: x + -1x = 0
0 = 30 + -1x

Simplifying
0 = 30 + -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:

| y=5x^2-40x-2 | | -3=2y+9 | | 2x-7x+3=x-5+8 | | (-7j)+3j= | | 10xn=40 | | 26v=1118 | | 77x^2+75x+50=0 | | y^2+13-3=13 | | X-6(x-1)=7(3-x) | | (3-4i)*(5+2i)= | | -2(y+2)+10-7y= | | y+8=-4x-3 | | 4x+1y=12 | | x(0.05)+x=103.95 | | 350=25x+100 | | 3cos^2x-8cosx-3=0 | | 2(4m-18)=184 | | 4+9+3-12=4y+2y | | 3(5h-2)+4h= | | (9-v)(5v+6)=0 | | 1270.444=6.28r^2+137.532r | | -6x+15=-x+5 | | 5y=9x-8 | | -21+x=x+22 | | e+4=7 | | 21+x=x+22 | | 2(5b+11)=152 | | -6y+1=-5y+3 | | 12x-3G=15 | | X=20+2y+2x+30 | | 9h-21=11 | | (5x-7)(2x+3)= |

Equations solver categories