ln(8x)=ln(6x^2)

Simple and best practice solution for ln(8x)=ln(6x^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 ln(8x)=ln(6x^2) equation: 


Simplifying
ln(8x) = ln(6x2)

Remove parenthesis around (8x)
ln * 8x = ln(6x2)

Reorder the terms for easier multiplication:
8ln * x = ln(6x2)

Multiply ln * x
8lnx = ln(6x2)

Remove parenthesis around (6x2)
8lnx = ln * 6x2

Reorder the terms for easier multiplication:
8lnx = 6ln * x2

Multiply ln * x2
8lnx = 6lnx2

Solving
8lnx = 6lnx2

Solving for variable 'l'.

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

Add '-6lnx2' to each side of the equation.
8lnx + -6lnx2 = 6lnx2 + -6lnx2

Combine like terms: 6lnx2 + -6lnx2 = 0
8lnx + -6lnx2 = 0

Factor out the Greatest Common Factor (GCF), '2lnx'.
2lnx(4 + -3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve:

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Add '3x' to each side of the equation.
-3x + 3x = -4 + 3x

Combine like terms: -3x + 3x = 0
0 = -4 + 3x

Simplifying
0 = -4 + 3x

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:

| 4(3n+2)n=1 | | 3x-1+1=2 | | 9x+1=4x+2A | | 5+7q=-10+2q | | ln(8x)=2ln(6x) | | -x^2+6*x-8=0 | | -2(9v-4)+2v=2(v+7) | | x^2-9*x-22=0 | | 2x^2+8x+9= | | x^2+10x=2x-6 | | 7(9x+2)=8p | | -6(-4u+6)-2u=4(u-6)-6 | | X+2000=4x-1000 | | x^2-4*x+3=0 | | 3g+8=5g-20 | | 5(x-20)=3(x+30) | | 17x-6=3x+64 | | 4(x-2)-7x=7 | | x^2+12*x+20=0 | | 7.6X-2.2=54 | | 2(x+10)+3(x+20)=180 | | (11x+21)=(7x+33) | | x+(x+2)=790 | | -9(2)= | | 5(x+4)=3(x+20) | | 2x^2+20x-24=0 | | 2(x-7)=64 | | 5*(2x+3)=8x-6 | | 10x+8-5x-3=85 | | 42p^2-85p+42=0 | | 5(x+4)=90 | | 7xy+2y^2=0 |

Equations solver categories