ln(x)+ln(6x+7)=ln(3)

Simple and best practice solution for ln(x)+ln(6x+7)=ln(3) 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(6x+7)=ln(3) equation: 


Simplifying
ln(x) + ln(6x + 7) = ln(3)

Multiply ln * x
lnx + ln(6x + 7) = ln(3)

Reorder the terms:
lnx + ln(7 + 6x) = ln(3)
lnx + (7 * ln + 6x * ln) = ln(3)
lnx + (7ln + 6lnx) = ln(3)

Reorder the terms:
7ln + lnx + 6lnx = ln(3)

Combine like terms: lnx + 6lnx = 7lnx
7ln + 7lnx = ln(3)

Reorder the terms for easier multiplication:
7ln + 7lnx = 3ln

Solving
7ln + 7lnx = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
7ln + -3ln + 7lnx = 3ln + -3ln

Combine like terms: 7ln + -3ln = 4ln
4ln + 7lnx = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
4ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + 7x) = 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 '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Add '-7x' to each side of the equation.
7x + -7x = -4 + -7x

Combine like terms: 7x + -7x = 0
0 = -4 + -7x

Simplifying
0 = -4 + -7x

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:

| 3x^2-12x+6=5x-4 | | Y-2.5=4.2 | | 30+(-2)=-2(5(-2)-4) | | 30+m=-2(5m-4) | | 18-5x-7=12x+11-17x | | m+-10=-33 | | x^3-x=80 | | 10y+22=69 | | 13a-7=90 | | 3+8(1+6r)=-277 | | -2x+7=3-(5x+1) | | -3(-10+3x)=-69 | | -4(-3x-2)=-76 | | 4x+8-12=92 | | x+-2.4=9.1 | | 2(6x-8)=-40 | | 82=4r+25 | | 4(5x-8)=-12 | | Y-21=-11 | | 7-(2x-2)*(4x+1)=2x*(5-4x) | | 4(8-6x)=-136 | | 4+p+5= | | 5x*5x-15x+7=0 | | 5(k+11)+2(k-3)-7=2(k-4) | | -10+z-1=7z-t | | 6-2t=4t+2 | | 12m-14m+4.2=12 | | 16+8-2x-14+x+9+x-4=10 | | X-18=3(2x+9) | | -3(5x+24)+2=2(3-2x)-4 | | 7x-8+6=3 | | 5(2x+1)=5x-20 |

Equations solver categories