ln(x)-2=ln(x-5)

Simple and best practice solution for ln(x)-2=ln(x-5) 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)-2=ln(x-5) equation:


Simplifying
ln(x) + -2 = ln(x + -5)

Multiply ln * x
lnx + -2 = ln(x + -5)

Reorder the terms:
-2 + lnx = ln(x + -5)

Reorder the terms:
-2 + lnx = ln(-5 + x)
-2 + lnx = (-5 * ln + x * ln)
-2 + lnx = (-5ln + lnx)

Add '-1lnx' to each side of the equation.
-2 + lnx + -1lnx = -5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2 + 0 = -5ln + lnx + -1lnx
-2 = -5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2 = -5ln + 0
-2 = -5ln

Solving
-2 = -5ln

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
-2 + 5ln = -5ln + 5ln

Combine like terms: -5ln + 5ln = 0
-2 + 5ln = 0

Add '2' to each side of the equation.
-2 + 2 + 5ln = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5ln = 0 + 2
5ln = 0 + 2

Combine like terms: 0 + 2 = 2
5ln = 2

Divide each side by '5n'.
l = 0.4n-1

Simplifying
l = 0.4n-1

See similar equations:

| 21x+189=252 | | 2x^2+4xy-8xz= | | 7x-(16-3x)=9x-13 | | 6a-4b+8c= | | (6x)(x+7)=0 | | 19.5=39.5+f | | 12x^2-18x^2-10xy+15x= | | 5p-7/4=2 | | 18x^3+9x^2-2x-1=0 | | 2(x^2-10+25)+1=y | | 1.6n-72=4h-30 | | 32x+42y=240 | | M=A | | 5w+16=56 | | -2(y-5)=-8y-20 | | 4m+16+5m+11= | | 4x+3y-2=-10 | | 18=-8x+6(x+5) | | Y-5=x^2+6x+3 | | (6+x)(4+x)=63 | | (x^2+3y-3)-(2x^2+3y-1)= | | -24+x=-10 | | 4v^2-27v-40=0 | | X-80=88+9x | | 17y=16(y+11) | | -6t-4=2t+8-8t | | 2x^3-12x^2+18=0 | | 3h+5=10h+2 | | 232=121-y | | 2x+2=0.2x+3 | | 18-5(x+1)= | | -18-6k=6+(1+3k) |

Equations solver categories