55=125ln(10x)

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Solution for 55=125ln(10x) equation:


Simplifying
55 = 125ln(10x)

Remove parenthesis around (10x)
55 = 125ln * 10x

Reorder the terms for easier multiplication:
55 = 125 * 10ln * x

Multiply 125 * 10
55 = 1250ln * x

Multiply ln * x
55 = 1250lnx

Solving
55 = 1250lnx

Solving for variable 'l'.

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

Add '-1250lnx' to each side of the equation.
55 + -1250lnx = 1250lnx + -1250lnx

Combine like terms: 1250lnx + -1250lnx = 0
55 + -1250lnx = 0

Add '-55' to each side of the equation.
55 + -55 + -1250lnx = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1250lnx = 0 + -55
-1250lnx = 0 + -55

Combine like terms: 0 + -55 = -55
-1250lnx = -55

Divide each side by '-1250nx'.
l = 0.044n-1x-1

Simplifying
l = 0.044n-1x-1

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