lnx+ln(x-13)=ln(x-48)

Simple and best practice solution for lnx+ln(x-13)=ln(x-48) 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 lnx+ln(x-13)=ln(x-48) equation:


Simplifying
lnx + ln(x + -13) = ln(x + -48)

Reorder the terms:
lnx + ln(-13 + x) = ln(x + -48)
lnx + (-13 * ln + x * ln) = ln(x + -48)
lnx + (-13ln + lnx) = ln(x + -48)

Reorder the terms:
-13ln + lnx + lnx = ln(x + -48)

Combine like terms: lnx + lnx = 2lnx
-13ln + 2lnx = ln(x + -48)

Reorder the terms:
-13ln + 2lnx = ln(-48 + x)
-13ln + 2lnx = (-48 * ln + x * ln)
-13ln + 2lnx = (-48ln + lnx)

Solving
-13ln + 2lnx = -48ln + lnx

Solving for variable 'l'.

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

Add '48ln' to each side of the equation.
-13ln + 48ln + 2lnx = -48ln + 48ln + lnx

Combine like terms: -13ln + 48ln = 35ln
35ln + 2lnx = -48ln + 48ln + lnx

Combine like terms: -48ln + 48ln = 0
35ln + 2lnx = 0 + lnx
35ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
35ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
35ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
35ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(35 + 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 '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Add '-1x' to each side of the equation. x + -1x = -35 + -1x Combine like terms: x + -1x = 0 0 = -35 + -1x Simplifying 0 = -35 + -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:

| 6p-3(5p+2)=4(1-p)-10+5 | | g=(4+8b)-7 | | 15=12+3 | | X^2=3x-19 | | 1.25x+7.95-2=3.90x+5-6 | | 8(m+2.4)= | | 3(x+4)=2x+2(3x-4) | | 1.25x+7.95=3.90x+5 | | 3.4x-4.5=2.3 | | 5(3y+1)-3(2y-5)=65 | | g=4(8b)-7 | | 3783.50=x(.05x) | | 5x+4y=6graph | | 12.95x+7.95=5+3.90x | | g=4x(-8)-7 | | 12.95x+7.95=5x+3.90x | | 4(x-2)+2(2x+3)=6 | | 7(g+19)= | | g-1/6=-2/3 | | (log)(x)=5.7 | | 2x^2=2304 | | -2(5s-2)-4=-2(8s+3)-2 | | 2x^2=2305 | | g(-8b)=4x-7 | | g(9-8b)=4x-7 | | 3x+16=-11+6x | | 3x+12y+18= | | 7x+9+3x+1=90 | | 12+3x=33+2x | | 3m+6.25=28.75 | | 3(x-7)(3x+4)+3=3 | | a=c(a+bX) |

Equations solver categories