2ln(3t)-5=10

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Solution for 2ln(3t)-5=10 equation:


Simplifying
2ln(3t) + -5 = 10

Remove parenthesis around (3t)
2ln * 3t + -5 = 10

Reorder the terms for easier multiplication:
2 * 3ln * t + -5 = 10

Multiply 2 * 3
6ln * t + -5 = 10

Multiply ln * t
6lnt + -5 = 10

Reorder the terms:
-5 + 6lnt = 10

Solving
-5 + 6lnt = 10

Solving for variable 'l'.

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

Add '5' to each side of the equation.
-5 + 5 + 6lnt = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 6lnt = 10 + 5
6lnt = 10 + 5

Combine like terms: 10 + 5 = 15
6lnt = 15

Divide each side by '6nt'.
l = 2.5n-1t-1

Simplifying
l = 2.5n-1t-1

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