ln(2x+7)+ln(x)=ln(5)

Simple and best practice solution for ln(2x+7)+ln(x)=ln(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(2x+7)+ln(x)=ln(5) equation: 


Simplifying
ln(2x + 7) + ln(x) = ln(5)

Reorder the terms:
ln(7 + 2x) + ln(x) = ln(5)
(7 * ln + 2x * ln) + ln(x) = ln(5)
(7ln + 2lnx) + ln(x) = ln(5)

Multiply ln * x
7ln + 2lnx + lnx = ln(5)

Combine like terms: 2lnx + lnx = 3lnx
7ln + 3lnx = ln(5)

Reorder the terms for easier multiplication:
7ln + 3lnx = 5ln

Solving
7ln + 3lnx = 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.
7ln + -5ln + 3lnx = 5ln + -5ln

Combine like terms: 7ln + -5ln = 2ln
2ln + 3lnx = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
2ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + 3x) = 0


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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

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:

| 6=2/3h | | 12x-22+9x-29=360 | | 2x-3x=-45 | | n+11=15 | | -2y^2+5y+6=0 | | 130-x=180 | | 2x^3-11x^2+2x+15=0 | | 3X-6=4X-10 | | 5z(z+2)=7z | | 4x=x+52 | | 3(a-2b)=3a-6b | | 4+9x+3=6x+10 | | 8x^2-233x-736=0 | | 10x^2-49x-96=0 | | y+2x^2-200=0 | | 2x+150-x+150=180 | | (3x+8)(2x-5)=0 | | 11m=88 | | 2x^2-3x-152=0 | | b*2+(2+b)=900 | | 3x+24=8x-11 | | 3a+4b-2a+8b= | | X+10-4=7 | | 6x^2+29x-120=0 | | -5.52+9.19y-2.32=-7.51y | | 3q+7=1 | | 12m+24=6 | | -.25x-8=.75 | | 16x^2+98x-165=0 | | 5x^2-108x-228=0 | | 4B-56=16-2B | | 4(m-1)+4(m+2)=11m+10 |

Equations solver categories