8-5ln(7x)=-15

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Solution for 8-5ln(7x)=-15 equation:


Simplifying
8 + -5ln(7x) = -15

Remove parenthesis around (7x)
8 + -5ln * 7x = -15

Reorder the terms for easier multiplication:
8 + -5 * 7ln * x = -15

Multiply -5 * 7
8 + -35ln * x = -15

Multiply ln * x
8 + -35lnx = -15

Solving
8 + -35lnx = -15

Solving for variable 'l'.

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

Add '-8' to each side of the equation.
8 + -8 + -35lnx = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -35lnx = -15 + -8
-35lnx = -15 + -8

Combine like terms: -15 + -8 = -23
-35lnx = -23

Divide each side by '-35nx'.
l = 0.6571428571n-1x-1

Simplifying
l = 0.6571428571n-1x-1

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