ln(x)+ln(x-4)=ln(21)

Simple and best practice solution for ln(x)+ln(x-4)=ln(21) 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(x-4)=ln(21) equation: 


Simplifying
ln(x) + ln(x + -4) = ln(21)

Multiply ln * x
lnx + ln(x + -4) = ln(21)

Reorder the terms:
lnx + ln(-4 + x) = ln(21)
lnx + (-4 * ln + x * ln) = ln(21)
lnx + (-4ln + lnx) = ln(21)

Reorder the terms:
-4ln + lnx + lnx = ln(21)

Combine like terms: lnx + lnx = 2lnx
-4ln + 2lnx = ln(21)

Reorder the terms for easier multiplication:
-4ln + 2lnx = 21ln

Solving
-4ln + 2lnx = 21ln

Solving for variable 'l'.

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

Add '-21ln' to each side of the equation.
-4ln + -21ln + 2lnx = 21ln + -21ln

Combine like terms: -4ln + -21ln = -25ln
-25ln + 2lnx = 21ln + -21ln

Combine like terms: 21ln + -21ln = 0
-25ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-25 + 2x) = 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 '(-25 + 2x)' equal to zero and attempt to solve:

Simplifying
-25 + 2x = 0

Solving
-25 + 2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 0 + 25
2x = 0 + 25

Combine like terms: 0 + 25 = 25
2x = 25

Add '-2x' to each side of the equation.
2x + -2x = 25 + -2x

Combine like terms: 2x + -2x = 0
0 = 25 + -2x

Simplifying
0 = 25 + -2x

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+5=4x^2+8x+4 | | 3x+7=x+25 | | 71-4x=5x+19 | | -2*5k= | | 7d-9d-8d= | | 22x^2-22x=0 | | 0.36(6)+0.06x=0.18(24+x) | | 4x^2-21x+23=-6x+9 | | 6(5x)-24(2x-3)=36(x) | | h-15=2h-8 | | x^2+10x-11=2x-2 | | x^2-4x-30=2 | | 111-5=10x+21 | | 11-5x=10x+21 | | 2x-2y=16 | | 3(x-2)=5(x-12) | | 2(2x-1)=3(3x-2) | | 3*1-2*-2= | | 7-8x=31-22x | | 7x-(3x-11)=5 | | -4x-34=-7(x+7) | | -14=4+3v | | -2(x+5)=3(x-5) | | 20x-12x=96 | | m^2+9m= | | 5lnx=10 | | 6x=y-1 | | 5x-17= | | 7(d-5)=5 | | x=-1y | | 85-6-1=x+4x | | b-5+6b=30 |

Equations solver categories