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

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


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

Multiply ln * x
lnx + ln(x + -3) = ln(10)

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

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

Combine like terms: lnx + lnx = 2lnx
-3ln + 2lnx = ln(10)

Reorder the terms for easier multiplication:
-3ln + 2lnx = 10ln

Solving
-3ln + 2lnx = 10ln

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.
-3ln + -10ln + 2lnx = 10ln + -10ln

Combine like terms: -3ln + -10ln = -13ln
-13ln + 2lnx = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-13ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-13 + 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 '(-13 + 2x)' equal to zero and attempt to solve:

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 0 + 13
2x = 0 + 13

Combine like terms: 0 + 13 = 13
2x = 13

Add '-2x' to each side of the equation.
2x + -2x = 13 + -2x

Combine like terms: 2x + -2x = 0
0 = 13 + -2x

Simplifying
0 = 13 + -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:

| 9x^2+30x=29 | | 54=w/3 | | (y^2+2)(5y+7)= | | 6x-2=.02 | | 2x+3x+13=90 | | 0.5(x-1)=2(x+5) | | w-4w= | | F(x)=9x-13 | | 3(5+3x)-2=23 | | 10y+10-3y=-11 | | -3x+9=4x+12 | | 4(p+6q-10)= | | 5r^3-10r^2=0 | | -16t^2+100t+5=0 | | C+(61)=-97 | | 40x+15y=505 | | (-a^2+1)-(a^2-2)+(5a^2-4a+8)= | | 100x=20 | | r/4-10=-6 | | sqrt(2−3x)/sqrt(5x)=3 | | 2x+12x+8=15 | | 4t^2+12t=12 | | 3/4-x/2=3/8 | | y=.6x-3 | | C+(-16)=-97 | | 3y/2 | | 12x+4=3x+22 | | -7(6y)= | | 3y/2=1200/y | | 3x^2-y^2=2 | | x=1+x+1 | | 17+3x=-5-1x |

Equations solver categories