ln(8x-10)=ln(x+15)

Simple and best practice solution for ln(8x-10)=ln(x+15) 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(8x-10)=ln(x+15) equation: 


Simplifying
ln(8x + -10) = ln(x + 15)

Reorder the terms:
ln(-10 + 8x) = ln(x + 15)
(-10 * ln + 8x * ln) = ln(x + 15)
(-10ln + 8lnx) = ln(x + 15)

Reorder the terms:
-10ln + 8lnx = ln(15 + x)
-10ln + 8lnx = (15 * ln + x * ln)
-10ln + 8lnx = (15ln + lnx)

Solving
-10ln + 8lnx = 15ln + lnx

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
-10ln + -15ln + 8lnx = 15ln + -15ln + lnx

Combine like terms: -10ln + -15ln = -25ln
-25ln + 8lnx = 15ln + -15ln + lnx

Combine like terms: 15ln + -15ln = 0
-25ln + 8lnx = 0 + lnx
-25ln + 8lnx = lnx

Add '-1lnx' to each side of the equation.
-25ln + 8lnx + -1lnx = lnx + -1lnx

Combine like terms: 8lnx + -1lnx = 7lnx
-25ln + 7lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-25ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-25 + 7x) = 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 '(-25 + 7x)' equal to zero and attempt to solve:

Simplifying
-25 + 7x = 0

Solving
-25 + 7x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 7x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 7x = 0 + 25
7x = 0 + 25

Combine like terms: 0 + 25 = 25
7x = 25

Add '-7x' to each side of the equation.
7x + -7x = 25 + -7x

Combine like terms: 7x + -7x = 0
0 = 25 + -7x

Simplifying
0 = 25 + -7x

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:

| 10k-2=20 | | 3s=s+8 | | v+4.51=7.74 | | -15x-5=11x-17 | | 2x=9x+15+4 | | -4x+5x-3+3x=25 | | 103y=5 | | (X)x(2X)= | | -4+5x-3+3x=25 | | 0.5x+14x=153 | | (X-5)x(2X-8)= | | 11x-50=12 | | 2/3q=5=3/4 | | 102n-5=500 | | 5(m-2)+36=94 | | (X-3)+(x-5)= | | 5v+15=70 | | 8u-10u-10=-20 | | 3x-2x+4x=25 | | 5n+1=3 | | 2s-7=-5 | | 102x=9 | | 2y-7=7y+5 | | 0.6x-0.7=8.9 | | 9x-6+3=6x-18 | | (5-2n)3.3-6.5n=16 | | 0.6x-0.7=0.8 | | 0.5x+14x=3060 | | 99=99n | | 11g+23=1 | | X+43=-97 | | -2x-12=-14 |

Equations solver categories