Ln(X^2-3)=ln(2X)

Simple and best practice solution for Ln(X^2-3)=ln(2X) 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^2-3)=ln(2X) equation: 


Simplifying
Ln(X2 + -3) = ln(2X)

Reorder the terms:
nL(-3 + X2) = ln(2X)
(-3 * nL + X2 * nL) = ln(2X)
(-3nL + nLX2) = ln(2X)

Remove parenthesis around (2X)
-3nL + nLX2 = ln * 2X

Reorder the terms for easier multiplication:
-3nL + nLX2 = 2ln * X

Multiply ln * X
-3nL + nLX2 = 2lnX

Solving
-3nL + nLX2 = 2lnX

Solving for variable 'n'.

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

Add '-2lnX' to each side of the equation.
-3nL + -2lnX + nLX2 = 2lnX + -2lnX

Reorder the terms:
-2lnX + -3nL + nLX2 = 2lnX + -2lnX

Combine like terms: 2lnX + -2lnX = 0
-2lnX + -3nL + nLX2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2lX + -3L + LX2) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-2lX + -3L + LX2)' equal to zero and attempt to solve:

Simplifying
-2lX + -3L + LX2 = 0

Reorder the terms:
-3L + LX2 + -2lX = 0

Solving
-3L + LX2 + -2lX = 0

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

Add '3L' to each side of the equation.
-3L + LX2 + 3L + -2lX = 0 + 3L

Reorder the terms:
-3L + 3L + LX2 + -2lX = 0 + 3L

Combine like terms: -3L + 3L = 0
0 + LX2 + -2lX = 0 + 3L
LX2 + -2lX = 0 + 3L
Remove the zero:
LX2 + -2lX = 3L

Add '-1LX2' to each side of the equation.
LX2 + -1LX2 + -2lX = 3L + -1LX2

Combine like terms: LX2 + -1LX2 = 0
0 + -2lX = 3L + -1LX2
-2lX = 3L + -1LX2

Add '2lX' to each side of the equation.
-2lX + 2lX = 3L + -1LX2 + 2lX

Combine like terms: -2lX + 2lX = 0
0 = 3L + -1LX2 + 2lX

Simplifying
0 = 3L + -1LX2 + 2lX

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

See similar equations:

| 2x-2x(3)+4x(4)-3(x-4)+3+2x-2x-5=18 | | -6x=-16 | | 7(1+x)+6x=85 | | X-25/20-9 | | 9(n-2)=(n-1) | | u^2+u-1=0 | | 6m-4=20-2g | | 246=7(-7-6b)+1 | | 1/3x=2x-8/3 | | (3y-20)(y+10)+70=180 | | -3(6-6k)=-126 | | -99=3(-5+4n) | | 8(1+3m)=-160 | | 10+2x-2x(3)-7x(4)-2(2+x)+3+7x-2-5x=17 | | 2/3x=-5/6 | | n=-2mz | | 8x^5-56x^4+200x^3-264x^2+64x+8=0 | | 10x+12=7x-8 | | 8x^5-58x^4+200x^3-264x^2+64x+8=0 | | 2(3x^2-2x^2-1)= | | 10x+12=21x-24 | | (7n-6)/7n | | 5x+2*0.33=1.5 | | (2x+4)(2x-4)=0 | | (X^2+4)(x^3+27i)=0 | | 5x^2-4x^2+1+4=0 | | 2/3u=42 | | 5(x+3)=20(x-1) | | 4+12x-12*3-5x*3-2(2x+x)+5(2-x)+8+2-5x=30+5x | | 2(3x^2)= | | 12x+10=3(x-1) | | 3x+4(x-9)=-1 |

Equations solver categories