ln(x-9)+ln(2x-1)=2

Simple and best practice solution for ln(x-9)+ln(2x-1)=2 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-9)+ln(2x-1)=2 equation:


Simplifying
ln(x + -9) + ln(2x + -1) = 2

Reorder the terms:
ln(-9 + x) + ln(2x + -1) = 2
(-9 * ln + x * ln) + ln(2x + -1) = 2
(-9ln + lnx) + ln(2x + -1) = 2

Reorder the terms:
-9ln + lnx + ln(-1 + 2x) = 2
-9ln + lnx + (-1 * ln + 2x * ln) = 2
-9ln + lnx + (-1ln + 2lnx) = 2

Reorder the terms:
-9ln + -1ln + lnx + 2lnx = 2

Combine like terms: -9ln + -1ln = -10ln
-10ln + lnx + 2lnx = 2

Combine like terms: lnx + 2lnx = 3lnx
-10ln + 3lnx = 2

Solving
-10ln + 3lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + -10ln + 3lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -10ln + 3lnx = 0

The solution to this equation could not be determined.

See similar equations:

| 3x+12=-30-4x | | 7+5x=-5+x | | 1.9-2= | | X^2-4x+9=11 | | -16x^2+4x+16=0 | | h=-t(t-6) | | -3x+29=2 | | g=-1 | | 8x+18=52 | | 0.9+0.1= | | 0.9-0.1= | | 6x-35=-37 | | 0.9-0= | | 1+.0001= | | -4x^2+x-4=0 | | 1+-0.01= | | 1+-0.1= | | 3(2+x)-(6-3x)+4(1-2x)=10 | | 12x+24=60x+10 | | 46+x=10+x+13+x+4+x | | 72x+129=63x+45 | | 14e+5=6e-19 | | 25x+15y-21=0 | | 6x^2-2x-40=0 | | -2(a+8)=-23-a | | 6x^2+2x-40=0 | | 7n+28=-7(-5n+8) | | -38+4b=2(8b-1) | | 12-[5-(7-x)]=10 | | lg(2x-5)=lg(1-x) | | 40-8x=7(-3x+2) | | 4x^2+14x+9=0 |

Equations solver categories