ln(14x^2)-ln(7x)+2=3

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Solution for ln(14x^2)-ln(7x)+2=3 equation:


Simplifying
ln(14x2) + -1ln(7x) + 2 = 3

Remove parenthesis around (14x2)
ln * 14x2 + -1ln(7x) + 2 = 3

Reorder the terms for easier multiplication:
14ln * x2 + -1ln(7x) + 2 = 3

Multiply ln * x2
14lnx2 + -1ln(7x) + 2 = 3

Remove parenthesis around (7x)
14lnx2 + -1ln * 7x + 2 = 3

Reorder the terms for easier multiplication:
14lnx2 + -1 * 7ln * x + 2 = 3

Multiply -1 * 7
14lnx2 + -7ln * x + 2 = 3

Multiply ln * x
14lnx2 + -7lnx + 2 = 3

Reorder the terms:
2 + -7lnx + 14lnx2 = 3

Solving
2 + -7lnx + 14lnx2 = 3

Solving for variable 'l'.

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

Add '-2' to each side of the equation.
2 + -7lnx + -2 + 14lnx2 = 3 + -2

Reorder the terms:
2 + -2 + -7lnx + 14lnx2 = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -7lnx + 14lnx2 = 3 + -2
-7lnx + 14lnx2 = 3 + -2

Combine like terms: 3 + -2 = 1
-7lnx + 14lnx2 = 1

Reorder the terms:
-1 + -7lnx + 14lnx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -7lnx + 14lnx2 = 0

The solution to this equation could not be determined.

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