ln(x+1)+ln(x-1)-(ln(4x^2-4)-ln(4))=e^5x-300

Simple and best practice solution for ln(x+1)+ln(x-1)-(ln(4x^2-4)-ln(4))=e^5x-300 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+1)+ln(x-1)-(ln(4x^2-4)-ln(4))=e^5x-300 equation:


Simplifying
ln(x + 1) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300

Reorder the terms:
ln(1 + x) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300
(1 * ln + x * ln) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300
(1ln + lnx) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300

Reorder the terms:
1ln + lnx + ln(-1 + x) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300
1ln + lnx + (-1 * ln + x * ln) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300
1ln + lnx + (-1ln + lnx) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300

Reorder the terms:
1ln + lnx + -1ln + lnx + -1(ln(-4 + 4x2) + -1ln(4)) = e5x + -300
1ln + lnx + -1ln + lnx + -1((-4 * ln + 4x2 * ln) + -1ln(4)) = e5x + -300
1ln + lnx + -1ln + lnx + -1((-4ln + 4lnx2) + -1ln(4)) = e5x + -300

Reorder the terms for easier multiplication:
1ln + lnx + -1ln + lnx + -1(-4ln + 4lnx2 + -1 * 4ln) = e5x + -300

Multiply -1 * 4
1ln + lnx + -1ln + lnx + -1(-4ln + 4lnx2 + -4ln) = e5x + -300

Reorder the terms:
1ln + lnx + -1ln + lnx + -1(-4ln + -4ln + 4lnx2) = e5x + -300

Combine like terms: -4ln + -4ln = -8ln
1ln + lnx + -1ln + lnx + -1(-8ln + 4lnx2) = e5x + -300
1ln + lnx + -1ln + lnx + (-8ln * -1 + 4lnx2 * -1) = e5x + -300
1ln + lnx + -1ln + lnx + (8ln + -4lnx2) = e5x + -300

Reorder the terms:
1ln + -1ln + 8ln + lnx + lnx + -4lnx2 = e5x + -300

Combine like terms: 1ln + -1ln = 0
0 + 8ln + lnx + lnx + -4lnx2 = e5x + -300
8ln + lnx + lnx + -4lnx2 = e5x + -300

Combine like terms: lnx + lnx = 2lnx
8ln + 2lnx + -4lnx2 = e5x + -300

Reorder the terms:
8ln + 2lnx + -4lnx2 = -300 + e5x

Solving
8ln + 2lnx + -4lnx2 = -300 + e5x

Solving for variable 'l'.

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

Reorder the terms:
300 + -1e5x + 8ln + 2lnx + -4lnx2 = -300 + e5x + 300 + -1e5x

Reorder the terms:
300 + -1e5x + 8ln + 2lnx + -4lnx2 = -300 + 300 + e5x + -1e5x

Combine like terms: -300 + 300 = 0
300 + -1e5x + 8ln + 2lnx + -4lnx2 = 0 + e5x + -1e5x
300 + -1e5x + 8ln + 2lnx + -4lnx2 = e5x + -1e5x

Combine like terms: e5x + -1e5x = 0
300 + -1e5x + 8ln + 2lnx + -4lnx2 = 0

The solution to this equation could not be determined.

See similar equations:

| 7k+8+2k=-64 | | 3(x+13)=19 | | 2+4(x-6)=2x+1 | | (4.25*10^9)/(5.76*10^4) | | (4.25x10^9)/(5.76x10^4) | | 88+3x=54*2x | | 4x-2=12-66 | | 6a^2-2ax=0 | | 6x^2-2ax=0 | | 40+0.25m=80 | | 0=-3x^2-6x+4 | | lx^2-kx+8=0 | | x^2-kx-24=0 | | -2n+4=12 | | x^2-4kx+(5k-6)=0 | | 7y^2(y-2)=0 | | f(x)=8/3x^4 | | -x+7-6x=19-3y | | X^2+2y=10 | | 2u^2+3u=0 | | 4a+14b=92 | | 4a+4b=32 | | 1.2X=0.12 | | 27+x=6 | | 6a+11b=102 | | 6a+4b=60 | | -5c(9c-8c-5)= | | -7/8-8-1/7= | | 6u+v=46 | | -7/8*-8*-1/7= | | 0=-16xt^2+40xt+7 | | 3u+v=28 |

Equations solver categories