ln(3x+5)=ln(x-10)

Simple and best practice solution for ln(3x+5)=ln(x-10) 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(3x+5)=ln(x-10) equation: 


Simplifying
ln(3x + 5) = ln(x + -10)

Reorder the terms:
ln(5 + 3x) = ln(x + -10)
(5 * ln + 3x * ln) = ln(x + -10)
(5ln + 3lnx) = ln(x + -10)

Reorder the terms:
5ln + 3lnx = ln(-10 + x)
5ln + 3lnx = (-10 * ln + x * ln)
5ln + 3lnx = (-10ln + lnx)

Solving
5ln + 3lnx = -10ln + lnx

Solving for variable 'l'.

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

Add '10ln' to each side of the equation.
5ln + 10ln + 3lnx = -10ln + 10ln + lnx

Combine like terms: 5ln + 10ln = 15ln
15ln + 3lnx = -10ln + 10ln + lnx

Combine like terms: -10ln + 10ln = 0
15ln + 3lnx = 0 + lnx
15ln + 3lnx = lnx

Add '-1lnx' to each side of the equation.
15ln + 3lnx + -1lnx = lnx + -1lnx

Combine like terms: 3lnx + -1lnx = 2lnx
15ln + 2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
15ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(15 + 2x) = 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 '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Add '-2x' to each side of the equation.
2x + -2x = -15 + -2x

Combine like terms: 2x + -2x = 0
0 = -15 + -2x

Simplifying
0 = -15 + -2x

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:

| 2a+3b+4c= | | x^2+x-y-42=0 | | (3x-4)(6x+5)=0 | | ln(3+x)=7 | | (w-1)(3w+2)=4w | | log(2x-7)=log(12)-log(3) | | 2a-8a=10+2a-13-7 | | x(5x-11)=0 | | 18x^2+27x+5=0 | | ln(x^3)=1 | | ln(x^2+6x)=ln(4x-1/2)+ln(2) | | (8x+16)+(4x+84)=180 | | 8x-9=12+11 | | 2/y+5/2=4-2/3y | | ln(2x-4)=ln(8) | | 3x^2+x^3-324=0 | | (3x^2)+(x^3)-324=0 | | (4x+47)+(7x-32)=180 | | 3(y+6)=2y+14 | | -16/21-(-8/9) | | (3x+159)+(7x+91)=180 | | 2(4+x)+6(5+x)=x(x+8) | | 2(4+x)+6(5+x)=x(3-7+8) | | 8x+2x^2=0 | | 2(4-x)-6(5+x)=x(3-7+8) | | 36x^3+45x^2-7x-4=0 | | (1.50n)y+10.00=t | | x-(x*.30)=100 | | 6w^2+13w-63= | | -5p+7+6p=14 | | 2x+5-9x=3(x-5) | | -2/3x=-5/2 |

Equations solver categories