13=5*ln(6x)

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Solution for 13=5*ln(6x) equation:


Simplifying
13 = 5ln(6x)

Remove parenthesis around (6x)
13 = 5ln * 6x

Reorder the terms for easier multiplication:
13 = 5 * 6ln * x

Multiply 5 * 6
13 = 30ln * x

Multiply ln * x
13 = 30lnx

Solving
13 = 30lnx

Solving for variable 'l'.

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

Add '-30lnx' to each side of the equation.
13 + -30lnx = 30lnx + -30lnx

Combine like terms: 30lnx + -30lnx = 0
13 + -30lnx = 0

Add '-13' to each side of the equation.
13 + -13 + -30lnx = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -30lnx = 0 + -13
-30lnx = 0 + -13

Combine like terms: 0 + -13 = -13
-30lnx = -13

Divide each side by '-30nx'.
l = 0.4333333333n-1x-1

Simplifying
l = 0.4333333333n-1x-1

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