ln(x-6)+ln(x+3)=ln(10)

Simple and best practice solution for ln(x-6)+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-6)+ln(x+3)=ln(10) equation:


Simplifying
ln(x + -6) + ln(x + 3) = ln(10)

Reorder the terms:
ln(-6 + x) + ln(x + 3) = ln(10)
(-6 * ln + x * ln) + ln(x + 3) = ln(10)
(-6ln + lnx) + ln(x + 3) = ln(10)

Reorder the terms:
-6ln + lnx + ln(3 + x) = ln(10)
-6ln + lnx + (3 * ln + x * ln) = ln(10)
-6ln + lnx + (3ln + lnx) = ln(10)

Reorder the terms:
-6ln + 3ln + lnx + lnx = ln(10)

Combine like terms: -6ln + 3ln = -3ln
-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:

| 25=3j | | 5x^4+31x^2-71=0 | | 4/7*28 | | 4=4a | | 13p+50=128 | | 4x-12=-5x+3y-22 | | -x^3-x^2+20x=0 | | -4(h-17)=0 | | 3d+2=17 | | 5p+2=4p-7 | | 5x^4+46x^2+9=0 | | 2n-n+2=15 | | 2(w-9)=-4 | | 8-5(1-C)=3 | | -3+7+1= | | 12h-11h+4=12 | | 8/3*(-2.1/2= | | H-234=1192 | | 11times=24+8x | | C-12=6 | | X/3-1=15 | | 9+4p+7=p+3p+7 | | s^3+3s^2+2s+3=0 | | F-354=1221 | | 3(q+9)=0 | | 3n-198=1n-16 | | -25=5u+5(u-3) | | A^2b^2c/(12a^2c^2) | | -2=14-u | | x^2+53=14x | | B-2401=3612 | | 3s-2s=15 |

Equations solver categories