2ln(x+1)=ln(7x+37)

Simple and best practice solution for 2ln(x+1)=ln(7x+37) 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 2ln(x+1)=ln(7x+37) equation:


Simplifying
2ln(x + 1) = ln(7x + 37)

Reorder the terms:
2ln(1 + x) = ln(7x + 37)
(1 * 2ln + x * 2ln) = ln(7x + 37)
(2ln + 2lnx) = ln(7x + 37)

Reorder the terms:
2ln + 2lnx = ln(37 + 7x)
2ln + 2lnx = (37 * ln + 7x * ln)
2ln + 2lnx = (37ln + 7lnx)

Solving
2ln + 2lnx = 37ln + 7lnx

Solving for variable 'l'.

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

Add '-37ln' to each side of the equation.
2ln + -37ln + 2lnx = 37ln + -37ln + 7lnx

Combine like terms: 2ln + -37ln = -35ln
-35ln + 2lnx = 37ln + -37ln + 7lnx

Combine like terms: 37ln + -37ln = 0
-35ln + 2lnx = 0 + 7lnx
-35ln + 2lnx = 7lnx

Add '-7lnx' to each side of the equation.
-35ln + 2lnx + -7lnx = 7lnx + -7lnx

Combine like terms: 2lnx + -7lnx = -5lnx
-35ln + -5lnx = 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
-35ln + -5lnx = 0

Factor out the Greatest Common Factor (GCF), '-5ln'.
-5ln(7 + x) = 0

Ignore the factor -5.

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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -1x 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:

| 5x^2-4x=672 | | 3x^2-x^2=162 | | 2a^5/a^7 | | 4x+56+5x+16=90 | | 2x^2-11x=51 | | (2x+28)+(3x-14)=180 | | (2x+28)+(3x+14)=180 | | 6cos(3-2x)=3 | | 8x-136+8x-136=32 | | 15(9c-1)-14=133c+15 | | 5x+10(x+8)= | | 38x^2/95x^3 | | 3x-15y+24z= | | 4+2x=5x | | 6(y-2)=4y-18 | | 3r^2-r=140 | | 2x+52+5x+44=180 | | (4x-20)+x=180 | | 7x-58+4x+27=90 | | 27x+21=70 | | 2(1/2-2y=3/2) | | 12a-3(4a+2)=-6 | | 3x+5=11+9x | | 2x+24+6x-29=67 | | 10v^2+7=647 | | (2x+3)(2x^2-5x+3)=0 | | x^2-20X-60=10 | | 2(10d^2-41d+40)=0 | | 1.3=7.75 | | 2x+19+4x+40=107 | | 2a+5b+5c= | | 3m+(2+2b)=112 |

Equations solver categories