ln(20+5x)-ln(10-x)=1

Simple and best practice solution for ln(20+5x)-ln(10-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(20+5x)-ln(10-x)=1 equation:


Simplifying
ln(20 + 5x) + -1ln(10 + -1x) = 1
(20 * ln + 5x * ln) + -1ln(10 + -1x) = 1
(20ln + 5lnx) + -1ln(10 + -1x) = 1
20ln + 5lnx + (10 * -1ln + -1x * -1ln) = 1
20ln + 5lnx + (-10ln + 1lnx) = 1

Reorder the terms:
20ln + -10ln + 5lnx + 1lnx = 1

Combine like terms: 20ln + -10ln = 10ln
10ln + 5lnx + 1lnx = 1

Combine like terms: 5lnx + 1lnx = 6lnx
10ln + 6lnx = 1

Solving
10ln + 6lnx = 1

Solving for variable 'l'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 10ln + 6lnx = 0

The solution to this equation could not be determined.

See similar equations:

| 6n=-42 | | x^2-30x+27=0 | | 216=63 | | 2D+4=12 | | z^2-2z+1=323 | | 5+4z=-7+5z | | 6x^2+-23x+15=0 | | 12x^4+11x^3-26x+x+2=0 | | 12x+16x-15x=14x+13x+52 | | 8+41nx=5 | | y+12=-8 | | -5+n=-15 | | -5+-10=-15 | | 3x+4=5x-14 | | 4+2y=7y-36 | | 76=4(y+3) | | 3+7y=3y+71 | | 3+3y=21 | | x+9+8x=108 | | 3(5+13y)=132 | | 11y+8y+9=104 | | 545=5(6x+7) | | 5x+1+7x=169 | | 200=2(9+7x) | | 11+8y+5y=11 | | 4x+3=7x-33 | | 4(3x+8)=140 | | 11+9y+4y=219 | | 2(2y+5)=90 | | 136=3+6x+x | | 1+13x=19+7x | | 28=7+3z |

Equations solver categories