ln(x)+ln(2x-1)=ln(6)

Simple and best practice solution for ln(x)+ln(2x-1)=ln(6) 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(x)+ln(2x-1)=ln(6) equation: 


Simplifying
ln(x) + ln(2x + -1) = ln(6)

Multiply ln * x
lnx + ln(2x + -1) = ln(6)

Reorder the terms:
lnx + ln(-1 + 2x) = ln(6)
lnx + (-1 * ln + 2x * ln) = ln(6)
lnx + (-1ln + 2lnx) = ln(6)

Reorder the terms:
-1ln + lnx + 2lnx = ln(6)

Combine like terms: lnx + 2lnx = 3lnx
-1ln + 3lnx = ln(6)

Reorder the terms for easier multiplication:
-1ln + 3lnx = 6ln

Solving
-1ln + 3lnx = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-1ln + -6ln + 3lnx = 6ln + -6ln

Combine like terms: -1ln + -6ln = -7ln
-7ln + 3lnx = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-7ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-7 + 3x) = 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 '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Add '-3x' to each side of the equation.
3x + -3x = 7 + -3x

Combine like terms: 3x + -3x = 0
0 = 7 + -3x

Simplifying
0 = 7 + -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:

| y-150=35(x-5) | | 24d+27d+11d=300 | | 5x-11=6(2-10) | | 8x-7x-12=9 | | 2x+2x=7x+12 | | -7/15=x-4/15 | | 7(4-9j)= | | 2.5+4.3=13.6 | | 12x/96= | | 38=2 | | x-24=216 | | 6x+76=2(2x+42) | | 14=p/18 | | s-7=3s-5 | | x+18=95 | | 2(k+20)=10k | | 3x+5=-36 | | 42=29+5(x-4.4) | | log(c)64=4 | | log(64)c=4 | | 6x=2(5x-50) | | log(4)64=c | | -9y-4=-7y+3 | | log(4)c=64 | | 3x+32=0.5(19x+38) | | 51-9+7q=91 | | 3/5*5.1-1.5=6 | | 7x-2x-30=30 | | 40-10x=10+5x | | 4n-1.4=2.4 | | -6r=-48 | | 2x-28=24+x |

Equations solver categories