10In(3x)+5=8

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Solution for 10In(3x)+5=8 equation:


Simplifying
10In(3x) + 5 = 8

Remove parenthesis around (3x)
10nI * 3x + 5 = 8

Reorder the terms for easier multiplication:
10 * 3nI * x + 5 = 8

Multiply 10 * 3
30nI * x + 5 = 8

Multiply nI * x
30nxI + 5 = 8

Reorder the terms:
5 + 30nxI = 8

Solving
5 + 30nxI = 8

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 30nxI = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 30nxI = 8 + -5
30nxI = 8 + -5

Combine like terms: 8 + -5 = 3
30nxI = 3

Divide each side by '30xI'.
n = 0.1x-1I-1

Simplifying
n = 0.1x-1I-1

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