ln(7x^2+4)-3ln(x)=ln(4)

Simple and best practice solution for ln(7x^2+4)-3ln(x)=ln(4) 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(7x^2+4)-3ln(x)=ln(4) equation: 


Simplifying
ln(7x2 + 4) + -3ln(x) = ln(4)

Reorder the terms:
ln(4 + 7x2) + -3ln(x) = ln(4)
(4 * ln + 7x2 * ln) + -3ln(x) = ln(4)
(4ln + 7lnx2) + -3ln(x) = ln(4)

Multiply ln * x
4ln + 7lnx2 + -3lnx = ln(4)

Reorder the terms:
4ln + -3lnx + 7lnx2 = ln(4)

Reorder the terms for easier multiplication:
4ln + -3lnx + 7lnx2 = 4ln

Add '-4ln' to each side of the equation.
4ln + -3lnx + -4ln + 7lnx2 = 4ln + -4ln

Reorder the terms:
4ln + -4ln + -3lnx + 7lnx2 = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
0 + -3lnx + 7lnx2 = 4ln + -4ln
-3lnx + 7lnx2 = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-3lnx + 7lnx2 = 0

Solving
-3lnx + 7lnx2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-3 + 7x) = 0


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

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(-3 + 7x)' equal to zero and attempt to solve:

Simplifying
-3 + 7x = 0

Solving
-3 + 7x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 7x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 0 + 3
7x = 0 + 3

Combine like terms: 0 + 3 = 3
7x = 3

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

Combine like terms: 7x + -7x = 0
0 = 3 + -7x

Simplifying
0 = 3 + -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:

| -24x^2+300x=0 | | (x-3)(2x+5)= | | 13+2x=5x+4 | | 2x^3+3x^2-x+2=0 | | 3x+5y=2473 | | 95(y-86)=y+44 | | 3x+8x=-193 | | 13-19=-2x | | 8+2(3x-6)=5-3(2x+1) | | 15x^4-30x^2-45=0 | | 8z-13z=25 | | (2x-3)/5=(4x)/7 | | 2x-16x=112 | | 22-5x=14-7x | | -4q+220=15q+30 | | 14(6)=h+4(12) | | 2x+41-5x=2-7x+3 | | 8-3c=2c-3 | | 8(5x+6)=248 | | 8x+9x+2+9=2x+5+10x | | 5-2*-2= | | 10(u+5)=(15)6 | | x^2+4z+5=0 | | 12x=-14+50 | | -76z-71=z-100 | | 5+10=10 | | 2(d+6)=6(4) | | log(2x-3)=0 | | 5x+2=4(x-2)+6 | | y-70=15x-30 | | 7x+5-9x=8-2n-3 | | 4x+6=66 |

Equations solver categories