ln(3x^2)-2=ln(x)

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Solution for ln(3x^2)-2=ln(x) equation:


Simplifying
ln(3x2) + -2 = ln(x)

Remove parenthesis around (3x2)
ln * 3x2 + -2 = ln(x)

Reorder the terms for easier multiplication:
3ln * x2 + -2 = ln(x)

Multiply ln * x2
3lnx2 + -2 = ln(x)

Reorder the terms:
-2 + 3lnx2 = ln(x)

Multiply ln * x
-2 + 3lnx2 = lnx

Solving
-2 + 3lnx2 = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-2 + -1lnx + 3lnx2 = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2 + -1lnx + 3lnx2 = 0

Add '2' to each side of the equation.
-2 + -1lnx + 2 + 3lnx2 = 0 + 2

Reorder the terms:
-2 + 2 + -1lnx + 3lnx2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1lnx + 3lnx2 = 0 + 2
-1lnx + 3lnx2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1lnx + 3lnx2 = 2

Reorder the terms:
-2 + -1lnx + 3lnx2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -1lnx + 3lnx2 = 0

The solution to this equation could not be determined.

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