ln(x)+ln(x+8)=ln(9)

Simple and best practice solution for ln(x)+ln(x+8)=ln(9) 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)+ln(x+8)=ln(9) equation: 


Simplifying
ln(x) + ln(x + 8) = ln(9)

Multiply ln * x
lnx + ln(x + 8) = ln(9)

Reorder the terms:
lnx + ln(8 + x) = ln(9)
lnx + (8 * ln + x * ln) = ln(9)
lnx + (8ln + lnx) = ln(9)

Reorder the terms:
8ln + lnx + lnx = ln(9)

Combine like terms: lnx + lnx = 2lnx
8ln + 2lnx = ln(9)

Reorder the terms for easier multiplication:
8ln + 2lnx = 9ln

Solving
8ln + 2lnx = 9ln

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
8ln + -9ln + 2lnx = 9ln + -9ln

Combine like terms: 8ln + -9ln = -1ln
-1ln + 2lnx = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-1ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Add '-2x' to each side of the equation.
2x + -2x = 1 + -2x

Combine like terms: 2x + -2x = 0
0 = 1 + -2x

Simplifying
0 = 1 + -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:

| 4.8x+3=27 | | 48=4x+12 | | 12m=-58+118 | | -20=2(u+5)-7u | | 24+3x=18 | | 13m=-64+129 | | R+5r-5r+R=18 | | 2x+7x^2=0 | | 26-9x=108 | | 1c+8p=35 | | 72-4x=12 | | (-7x-6)(x-5)+(8x-9)(5-x)= | | X+2=30-15 | | 2x-8x+1=9+10x | | 12+3a-5-8=2a+3 | | 3÷7/6 | | (-7x-6)(x-5)+(8x-9)= | | 17x/3=24 | | 14.95+13x=-15.00+.39x | | f/5-2=4 | | 5x-7x+6=12(x-3) | | 15=6-9n | | 5-3a=5(ya+2)-5 | | 7m+32=12-n | | 0=3x^2-75 | | 2y=6+a | | 19p-11p-7p=19 | | 3p-4=5p+2 | | -4x-6x=18 | | (x+3)*2=10 | | X+X-X=12 | | 2(x+25)=75 |

Equations solver categories