9.7=6ln(1.8)(1.8x)

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Solution for 9.7=6ln(1.8)(1.8x) equation:


Simplifying
9.7 = 6ln(1.8)(1.8x)

Remove parenthesis around (1.8x)
9.7 = 6ln * 1.8 * 1.8x

Reorder the terms for easier multiplication:
9.7 = 6 * 1.8 * 1.8ln * x

Multiply 6 * 1.8
9.7 = 10.8 * 1.8ln * x

Multiply 10.8 * 1.8
9.7 = 19.44ln * x

Multiply ln * x
9.7 = 19.44lnx

Solving
9.7 = 19.44lnx

Solving for variable 'l'.

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

Add '-19.44lnx' to each side of the equation.
9.7 + -19.44lnx = 19.44lnx + -19.44lnx

Combine like terms: 19.44lnx + -19.44lnx = 0.00
9.7 + -19.44lnx = 0.00

Add '-9.7' to each side of the equation.
9.7 + -9.7 + -19.44lnx = 0.00 + -9.7

Combine like terms: 9.7 + -9.7 = 0.0
0.0 + -19.44lnx = 0.00 + -9.7
-19.44lnx = 0.00 + -9.7

Combine like terms: 0.00 + -9.7 = -9.7
-19.44lnx = -9.7

Divide each side by '-19.44nx'.
l = 0.4989711934n-1x-1

Simplifying
l = 0.4989711934n-1x-1

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