0.45=ln(x)-0.7*x

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Solution for 0.45=ln(x)-0.7*x equation:


Simplifying
0.45 = ln(x) + -0.7x

Multiply ln * x
0.45 = lnx + -0.7x

Solving
0.45 = lnx + -0.7x

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
0.45 + -1lnx = lnx + -1lnx + -0.7x

Combine like terms: lnx + -1lnx = 0
0.45 + -1lnx = 0 + -0.7x
0.45 + -1lnx = -0.7x

Add '-0.45' to each side of the equation.
0.45 + -0.45 + -1lnx = -0.45 + -0.7x

Combine like terms: 0.45 + -0.45 = 0.00
0.00 + -1lnx = -0.45 + -0.7x
-1lnx = -0.45 + -0.7x

Divide each side by '-1nx'.
l = 0.45n-1x-1 + 0.7n-1

Simplifying
l = 0.45n-1x-1 + 0.7n-1

Reorder the terms:
l = 0.7n-1 + 0.45n-1x-1

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