ln(3x^2)-8+ln(4)=ln(76)

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Solution for ln(3x^2)-8+ln(4)=ln(76) equation:


Simplifying
ln(3x2) + -8 + ln(4) = ln(76)

Remove parenthesis around (3x2)
ln * 3x2 + -8 + ln(4) = ln(76)

Reorder the terms for easier multiplication:
3ln * x2 + -8 + ln(4) = ln(76)

Multiply ln * x2
3lnx2 + -8 + ln(4) = ln(76)

Reorder the terms for easier multiplication:
3lnx2 + -8 + 4ln = ln(76)

Reorder the terms:
-8 + 4ln + 3lnx2 = ln(76)

Reorder the terms for easier multiplication:
-8 + 4ln + 3lnx2 = 76ln

Solving
-8 + 4ln + 3lnx2 = 76ln

Solving for variable 'l'.

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

Add '-76ln' to each side of the equation.
-8 + 4ln + -76ln + 3lnx2 = 76ln + -76ln

Combine like terms: 4ln + -76ln = -72ln
-8 + -72ln + 3lnx2 = 76ln + -76ln

Combine like terms: 76ln + -76ln = 0
-8 + -72ln + 3lnx2 = 0

Add '8' to each side of the equation.
-8 + -72ln + 8 + 3lnx2 = 0 + 8

Reorder the terms:
-8 + 8 + -72ln + 3lnx2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -72ln + 3lnx2 = 0 + 8
-72ln + 3lnx2 = 0 + 8

Combine like terms: 0 + 8 = 8
-72ln + 3lnx2 = 8

Reorder the terms:
-8 + -72ln + 3lnx2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -72ln + 3lnx2 = 0

The solution to this equation could not be determined.

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