17.58=2lnx+3ln(0.375x)

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Solution for 17.58=2lnx+3ln(0.375x) equation: 


Simplifying
17.58 = 2lnx + 3ln(0.375x)

Remove parenthesis around (0.375x)
17.58 = 2lnx + 3ln * 0.375x

Reorder the terms for easier multiplication:
17.58 = 2lnx + 3 * 0.375ln * x

Multiply 3 * 0.375
17.58 = 2lnx + 1.125ln * x

Multiply ln * x
17.58 = 2lnx + 1.125lnx

Combine like terms: 2lnx + 1.125lnx = 3.125lnx
17.58 = 3.125lnx

Solving
17.58 = 3.125lnx

Solving for variable 'l'.

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

Add '-3.125lnx' to each side of the equation.
17.58 + -3.125lnx = 3.125lnx + -3.125lnx

Combine like terms: 3.125lnx + -3.125lnx = 0.000
17.58 + -3.125lnx = 0.000

Add '-17.58' to each side of the equation.
17.58 + -17.58 + -3.125lnx = 0.000 + -17.58

Combine like terms: 17.58 + -17.58 = 0.00
0.00 + -3.125lnx = 0.000 + -17.58
-3.125lnx = 0.000 + -17.58

Combine like terms: 0.000 + -17.58 = -17.58
-3.125lnx = -17.58

Divide each side by '-3.125nx'.
l = 5.6256n-1x-1

Simplifying
l = 5.6256n-1x-1

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