Ln(3X)+ln(X)=12

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Solution for Ln(3X)+ln(X)=12 equation: 


Simplifying
Ln(3X) + ln(X) = 12

Remove parenthesis around (3X)
nL * 3X + ln(X) = 12

Reorder the terms for easier multiplication:
3nL * X + ln(X) = 12

Multiply nL * X
3nLX + ln(X) = 12

Multiply ln * X
3nLX + lnX = 12

Reorder the terms:
lnX + 3nLX = 12

Solving
lnX + 3nLX = 12

Solving for variable 'l'.

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

Add '-3nLX' to each side of the equation.
lnX + 3nLX + -3nLX = 12 + -3nLX

Combine like terms: 3nLX + -3nLX = 0
lnX + 0 = 12 + -3nLX
lnX = 12 + -3nLX

Divide each side by 'nX'.
l = 12n-1X-1 + -3L

Simplifying
l = 12n-1X-1 + -3L

Reorder the terms:
l = -3L + 12n-1X-1

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