Ln(x)+ln(3)=ln(5x+1)

Simple and best practice solution for Ln(x)+ln(3)=ln(5x+1) 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(3)=ln(5x+1) equation: 


Simplifying
Ln(x) + ln(3) = ln(5x + 1)

Multiply nL * x
nxL + ln(3) = ln(5x + 1)

Reorder the terms for easier multiplication:
nxL + 3ln = ln(5x + 1)

Reorder the terms:
3ln + nxL = ln(5x + 1)

Reorder the terms:
3ln + nxL = ln(1 + 5x)
3ln + nxL = (1 * ln + 5x * ln)
3ln + nxL = (1ln + 5lnx)

Solving
3ln + nxL = 1ln + 5lnx

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
3ln + -1ln + nxL = 1ln + -1ln + 5lnx

Combine like terms: 3ln + -1ln = 2ln
2ln + nxL = 1ln + -1ln + 5lnx

Combine like terms: 1ln + -1ln = 0
2ln + nxL = 0 + 5lnx
2ln + nxL = 5lnx

Add '-5lnx' to each side of the equation.
2ln + -5lnx + nxL = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
2ln + -5lnx + nxL = 0

Add '-1nxL' to each side of the equation.
2ln + -5lnx + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
2ln + -5lnx + 0 = 0 + -1nxL
2ln + -5lnx = 0 + -1nxL
Remove the zero:
2ln + -5lnx = -1nxL

Combine like terms: -1nxL + nxL = 0
2ln + -5lnx + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -5lx + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(2l + -5lx + xL)' equal to zero and attempt to solve:

Simplifying
2l + -5lx + xL = 0

Solving
2l + -5lx + xL = 0

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

Add '-1xL' to each side of the equation.
2l + -5lx + xL + -1xL = 0 + -1xL

Combine like terms: xL + -1xL = 0
2l + -5lx + 0 = 0 + -1xL
2l + -5lx = 0 + -1xL
Remove the zero:
2l + -5lx = -1xL

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:

| sin=0.5 | | 9x^2-376x+3600=0 | | -8=-8-1+4 | | 2(3x+4)=3(2x-5) | | 4x-2(3x+5)=14 | | n-42.50=-14.25 | | w=w+1 | | 10t-13t=12 | | (6x+3)=15 | | am+bm=C | | 4t+1=-5 | | 2(d+1)=10 | | Am+bum=c | | n+42.50=-14.25 | | 60x+10=200 | | 3(k+1)=6 | | 7k+9=84 | | -24=6x+2-16 | | 2=1-1+5 | | log(3xy-6)=0 | | (s+6)(s-2)= | | 18-2z=8 | | n-14.50=42.50 | | 2w-2=12 | | z^4+2iz^3+4z^2+2iz+3=0 | | 18x^2-24x^3=0 | | 5x+3(7x-5)=141 | | 13y-29=153 | | n-18.25=35.80 | | 2.19*x+0.03*y=20 | | 4z-12=4 | | 2.19X+0.03Y=20 |

Equations solver categories