ln(5)+ln(x+3)=ln(14)

Simple and best practice solution for ln(5)+ln(x+3)=ln(14) 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(5)+ln(x+3)=ln(14) equation:


Simplifying
ln(5) + ln(x + 3) = ln(14)

Reorder the terms for easier multiplication:
5ln + ln(x + 3) = ln(14)

Reorder the terms:
5ln + ln(3 + x) = ln(14)
5ln + (3 * ln + x * ln) = ln(14)
5ln + (3ln + lnx) = ln(14)

Combine like terms: 5ln + 3ln = 8ln
8ln + lnx = ln(14)

Reorder the terms for easier multiplication:
8ln + lnx = 14ln

Solving
8ln + lnx = 14ln

Solving for variable 'l'.

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

Add '-14ln' to each side of the equation.
8ln + -14ln + lnx = 14ln + -14ln

Combine like terms: 8ln + -14ln = -6ln
-6ln + lnx = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-6ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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:

| 2w-19+7w=90 | | x^2-14x+49=36 | | (2a-3b)= | | 1.5(4x-x)=1.3(2-x) | | 18=43(1+x) | | 500/250=2.2/x | | 0(x)=7x+5 | | y^2-13y+24=0 | | (-m^4)(-m^3)-m(-m)+m^3(3m^4)= | | 12t^2+25t+12=0 | | 5-(20/x^2)=0 | | 3/4-15/28 | | G(0)=7(0)+5 | | (2x+1)=5h | | t=20-16t^2-32t | | (3/4)y-2=6(-1/4)y | | G(x)=7x+5 | | (-1/2)x-6 | | 5-x=(-4) | | 4=1/3x-3 | | 13/16-7/32 | | 15(z+1)=40*6 | | 5-x=(-14) | | (10x^2+5x+3)+(2x^2-7x+5)= | | 15x+4y+1=0 | | 11y-6=30-y | | p(x)=x^4+10x^3+8x^2+4x+10 | | 3x/3=12.3 | | (1/3x^8y^7)^3 | | 3y-6=5(2y-4)+5 | | 14-2(4x-4)=6 | | 15x-6=4x-17 |

Equations solver categories