ln(x)+ln(x+4)=ln(x+28)

Simple and best practice solution for ln(x)+ln(x+4)=ln(x+28) 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(x+28) equation:


Simplifying
ln(x) + ln(x + 4) = ln(x + 28)

Multiply ln * x
lnx + ln(x + 4) = ln(x + 28)

Reorder the terms:
lnx + ln(4 + x) = ln(x + 28)
lnx + (4 * ln + x * ln) = ln(x + 28)
lnx + (4ln + lnx) = ln(x + 28)

Reorder the terms:
4ln + lnx + lnx = ln(x + 28)

Combine like terms: lnx + lnx = 2lnx
4ln + 2lnx = ln(x + 28)

Reorder the terms:
4ln + 2lnx = ln(28 + x)
4ln + 2lnx = (28 * ln + x * ln)
4ln + 2lnx = (28ln + lnx)

Solving
4ln + 2lnx = 28ln + lnx

Solving for variable 'l'.

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

Add '-28ln' to each side of the equation.
4ln + -28ln + 2lnx = 28ln + -28ln + lnx

Combine like terms: 4ln + -28ln = -24ln
-24ln + 2lnx = 28ln + -28ln + lnx

Combine like terms: 28ln + -28ln = 0
-24ln + 2lnx = 0 + lnx
-24ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
-24ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
-24ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-24ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-24 + 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 '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Add '-1x' to each side of the equation. x + -1x = 24 + -1x Combine like terms: x + -1x = 0 0 = 24 + -1x Simplifying 0 = 24 + -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:

| x^3+4x^2+11x+44= | | 72=100x | | 1/3(5-4x)=1/2(9-4x) | | 1/3(5-4e)=1/2(9-4e) | | -4x+8y=0 | | 3x(5x+7)=x | | 12-7=-3p+8 | | -4x+9y=24 | | (2n+3)(2n-1)= | | 24x=1200 | | 40x+44(1.5x)=900 | | 4a-3=12-a | | -9x+5y=-7 | | 2sin^2x=3cosx | | 5y+6=-2-4y+10y | | f(x)=sqrt(4x+16) | | 4x+5=6x+-15 | | 6-(-5n)=5n-3 | | 36x^2+12x-24=0 | | 28x=700 | | 50+15x=60+10x | | 5a+3=15-a | | 3x-2y+z=-5 | | (-4x^3-5x^2+2x)-(2x^3+9x^2+2)=0 | | ln(3x)=ln(8) | | 6(2y+1)=42 | | 9y+2=4y-8 | | f(x)=6ln(x) | | 6x(x-8)-5(x-8)= | | 13-a=2a+4 | | 4n=28-3 | | 4x-60=138-7x |

Equations solver categories