ln(4x^2+1)-3ln(x)=ln(5)

Simple and best practice solution for ln(4x^2+1)-3ln(x)=ln(5) 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(4x^2+1)-3ln(x)=ln(5) equation:


Simplifying
ln(4x2 + 1) + -3ln(x) = ln(5)

Reorder the terms:
ln(1 + 4x2) + -3ln(x) = ln(5)
(1 * ln + 4x2 * ln) + -3ln(x) = ln(5)
(1ln + 4lnx2) + -3ln(x) = ln(5)

Multiply ln * x
1ln + 4lnx2 + -3lnx = ln(5)

Reorder the terms:
1ln + -3lnx + 4lnx2 = ln(5)

Reorder the terms for easier multiplication:
1ln + -3lnx + 4lnx2 = 5ln

Solving
1ln + -3lnx + 4lnx2 = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
1ln + -3lnx + -5ln + 4lnx2 = 5ln + -5ln

Reorder the terms:
1ln + -5ln + -3lnx + 4lnx2 = 5ln + -5ln

Combine like terms: 1ln + -5ln = -4ln
-4ln + -3lnx + 4lnx2 = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-4ln + -3lnx + 4lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + -3x + 4x2) = 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 + -3x + 4x2)' equal to zero and attempt to solve: Simplifying -4 + -3x + 4x2 = 0 Solving -4 + -3x + 4x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3x + 4 + 4x2 = 0 + 4 Reorder the terms: -4 + 4 + -3x + 4x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x + 4x2 = 0 + 4 -3x + 4x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -3x + 4x2 = 4 Add '3x' to each side of the equation. -3x + 3x + 4x2 = 4 + 3x Combine like terms: -3x + 3x = 0 0 + 4x2 = 4 + 3x 4x2 = 4 + 3x Add '-4x2' to each side of the equation. 4x2 + -4x2 = 4 + 3x + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 4 + 3x + -4x2 Simplifying 0 = 4 + 3x + -4x2 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:

| -p+3(2p-3)+4= | | 4x+4+4x=60 | | w=19+5+92 | | N+(n+1)+(n+2)+(n+3)=66 | | -3b+7=3b-5 | | (2x+7)=114 | | 3+18s-1=7s+66-5s | | 300P-20P=20P-100 | | 2x^2-23=30 | | x+9=-2x-9 | | 1.5p+0.2=0.8 | | 6x^2+11=71 | | 7/20x-1/4=1/10x | | c=38.61+0.25x | | -11n+2=-9n-8 | | 5x+2y-3x+8y-8= | | 8-(2x+5)=25 | | 9+1x=5x+25 | | F(X)=2x^2+20x-1 | | 988=-26(k+826) | | 1.6+x=6.4 | | 6(2-2y)=4(2-4r) | | 3(y+5)=-2(6y-5)+5y | | 3x(8x+2)=90 | | 3(x+1)=8(x-2)-6 | | 4x+6=-x+12 | | 8x+15=14x | | 4(x-3)=7x-4-3x | | 6g^2-23gh+15h^2=0 | | -0.2m+13=o | | (5m+2)(2m-7)=0 | | 6w+3-5w=-4+6 |

Equations solver categories