ln(x)+ln(x-6)=ln(16)

Simple and best practice solution for ln(x)+ln(x-6)=ln(16) 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-6)=ln(16) equation: 


Simplifying
ln(x) + ln(x + -6) = ln(16)

Multiply ln * x
lnx + ln(x + -6) = ln(16)

Reorder the terms:
lnx + ln(-6 + x) = ln(16)
lnx + (-6 * ln + x * ln) = ln(16)
lnx + (-6ln + lnx) = ln(16)

Reorder the terms:
-6ln + lnx + lnx = ln(16)

Combine like terms: lnx + lnx = 2lnx
-6ln + 2lnx = ln(16)

Reorder the terms for easier multiplication:
-6ln + 2lnx = 16ln

Solving
-6ln + 2lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
-6ln + -16ln + 2lnx = 16ln + -16ln

Combine like terms: -6ln + -16ln = -22ln
-22ln + 2lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-22ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-11 + x) = 0

Ignore the factor 2.

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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Add '-1x' to each side of the equation.
x + -1x = 11 + -1x

Combine like terms: x + -1x = 0
0 = 11 + -1x

Simplifying
0 = 11 + -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:

| (50-4y)+(25-2x)=100 | | -36+2w=8w+w | | 7X-8X-9X+2+3+17X=12 | | 111111111111111111111(a)= | | -x-4=16 | | -10=6+2c | | 5.25+x=3.75 | | b+5=-13 | | x-(x*0.2)=9.6 | | 23=x-17 | | n-2=-5 | | 3+4(2x-1)-2=5-2(x-1) | | -6+12+-9= | | 12+5.1+3.7= | | 6p+12=2p-4 | | 135.7*10= | | 18-5x(2+3)= | | 12x^2+13x+14=0 | | 88-4x=23x+16 | | 48r^2-27=0 | | 14-8x=169-43x | | 7+2z=5+11z | | 5x+5x+5x=15 | | 9x^2+54x-18=0 | | 9j^2-3j+2j^3= | | 4y^2+11y+121=0 | | -5x^2+40x+0=0 | | -22=-2x | | y^2+30=-11y | | -5(x+7)+x=6(2-x) | | x(x-5)=x^2+8x+4 | | 5u^2-14u-3=0 |

Equations solver categories