In(3x)+ln(x)=15

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Solution for In(3x)+ln(x)=15 equation: 


Simplifying
In(3x) + ln(x) = 15

Remove parenthesis around (3x)
nI * 3x + ln(x) = 15

Reorder the terms for easier multiplication:
3nI * x + ln(x) = 15

Multiply nI * x
3nxI + ln(x) = 15

Multiply ln * x
3nxI + lnx = 15

Reorder the terms:
lnx + 3nxI = 15

Solving
lnx + 3nxI = 15

Solving for variable 'l'.

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

Add '-3nxI' to each side of the equation.
lnx + 3nxI + -3nxI = 15 + -3nxI

Combine like terms: 3nxI + -3nxI = 0
lnx + 0 = 15 + -3nxI
lnx = 15 + -3nxI

Divide each side by 'nx'.
l = 15n-1x-1 + -3I

Simplifying
l = 15n-1x-1 + -3I

Reorder the terms:
l = -3I + 15n-1x-1

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