ln(x+10)=ln(x-6)+ln(X-1)

Simple and best practice solution for ln(x+10)=ln(x-6)+ln(X-1) 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+10)=ln(x-6)+ln(X-1) equation:


Simplifying
ln(x + 10) = ln(x + -6) + ln(X + -1)

Reorder the terms:
ln(10 + x) = ln(x + -6) + ln(X + -1)
(10 * ln + x * ln) = ln(x + -6) + ln(X + -1)
(10ln + lnx) = ln(x + -6) + ln(X + -1)

Reorder the terms:
10ln + lnx = ln(-6 + x) + ln(X + -1)
10ln + lnx = (-6 * ln + x * ln) + ln(X + -1)
10ln + lnx = (-6ln + lnx) + ln(X + -1)

Reorder the terms:
10ln + lnx = -6ln + lnx + ln(-1 + X)
10ln + lnx = -6ln + lnx + (-1 * ln + X * ln)
10ln + lnx = -6ln + lnx + (-1ln + lnX)

Reorder the terms:
10ln + lnx = -6ln + -1ln + lnX + lnx

Combine like terms: -6ln + -1ln = -7ln
10ln + lnx = -7ln + lnX + lnx

Add '-1lnx' to each side of the equation.
10ln + lnx + -1lnx = -7ln + lnX + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
10ln + 0 = -7ln + lnX + lnx + -1lnx
10ln = -7ln + lnX + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
10ln = -7ln + lnX + 0
10ln = -7ln + lnX

Solving
10ln = -7ln + lnX

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
10ln + 7ln = -7ln + 7ln + lnX

Combine like terms: 10ln + 7ln = 17ln
17ln = -7ln + 7ln + lnX

Combine like terms: -7ln + 7ln = 0
17ln = 0 + lnX
17ln = lnX

Add '-1lnX' to each side of the equation.
17ln + -1lnX = lnX + -1lnX

Combine like terms: lnX + -1lnX = 0
17ln + -1lnX = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(17 + -1X) = 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 '(17 + -1X)' equal to zero and attempt to solve: Simplifying 17 + -1X = 0 Solving 17 + -1X = 0 Move all terms containing l to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1X = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1X = 0 + -17 -1X = 0 + -17 Combine like terms: 0 + -17 = -17 -1X = -17 Add 'X' to each side of the equation. -1X + X = -17 + X Combine like terms: -1X + X = 0 0 = -17 + X Simplifying 0 = -17 + X 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:

| a^2-a-12=0 | | -p^2-2p+8=0 | | 0.2(2x+2)=1.1-(x+3) | | 11x+8=5(2x-3) | | 7x-2(2x-1)= | | 4(x+2)=44 | | m^2-3m-130=0 | | 3x+8=x+7 | | 3x^2-6x-3=0 | | 7-5(x-2)=2 | | 4y-5=8y+3 | | 3(x+1)-3= | | x^2-16x=-68 | | 8(x-7)=-16 | | 4b-6-9b=9 | | a/6=-3 | | -9=4-a | | 6=6(1-7v)-2v | | 60+3x+2x+x=360 | | 4x^2+25x=21 | | x(-2-6)=0 | | 2(6-n)=18 | | 4=-2(x-8) | | ln(x-4)-ln(x-5)=2 | | 3(1+7v)=45 | | 3x-2+5x+1= | | 24y-12*(7+y)=16-8y | | -4(1+5x)=-64 | | (1-7i)2= | | 3x^4-3x^2+28=0 | | 40=-8(8-4p)-6p | | 2(5x+4)=18 |

Equations solver categories