9.2=7ln(1.6)(1.6x)

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Solution for 9.2=7ln(1.6)(1.6x) equation:


Simplifying
9.2 = 7ln(1.6)(1.6x)

Remove parenthesis around (1.6x)
9.2 = 7ln * 1.6 * 1.6x

Reorder the terms for easier multiplication:
9.2 = 7 * 1.6 * 1.6ln * x

Multiply 7 * 1.6
9.2 = 11.2 * 1.6ln * x

Multiply 11.2 * 1.6
9.2 = 17.92ln * x

Multiply ln * x
9.2 = 17.92lnx

Solving
9.2 = 17.92lnx

Solving for variable 'l'.

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

Add '-17.92lnx' to each side of the equation.
9.2 + -17.92lnx = 17.92lnx + -17.92lnx

Combine like terms: 17.92lnx + -17.92lnx = 0.00
9.2 + -17.92lnx = 0.00

Add '-9.2' to each side of the equation.
9.2 + -9.2 + -17.92lnx = 0.00 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + -17.92lnx = 0.00 + -9.2
-17.92lnx = 0.00 + -9.2

Combine like terms: 0.00 + -9.2 = -9.2
-17.92lnx = -9.2

Divide each side by '-17.92nx'.
l = 0.5133928571n-1x-1

Simplifying
l = 0.5133928571n-1x-1

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