1.53=-0.180ln(x)+0.6185

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Solution for 1.53=-0.180ln(x)+0.6185 equation:


Simplifying
1.53 = -0.180ln(x) + 0.6185

Multiply ln * x
1.53 = -0.180lnx + 0.6185

Reorder the terms:
1.53 = 0.6185 + -0.180lnx

Solving
1.53 = 0.6185 + -0.180lnx

Solving for variable 'l'.

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

Add '0.180lnx' to each side of the equation.
1.53 + 0.180lnx = 0.6185 + -0.180lnx + 0.180lnx

Combine like terms: -0.180lnx + 0.180lnx = 0.000
1.53 + 0.180lnx = 0.6185 + 0.000
1.53 + 0.180lnx = 0.6185

Add '-1.53' to each side of the equation.
1.53 + -1.53 + 0.180lnx = 0.6185 + -1.53

Combine like terms: 1.53 + -1.53 = 0.00
0.00 + 0.180lnx = 0.6185 + -1.53
0.180lnx = 0.6185 + -1.53

Combine like terms: 0.6185 + -1.53 = -0.9115
0.180lnx = -0.9115

Divide each side by '0.180nx'.
l = -5.063888889n-1x-1

Simplifying
l = -5.063888889n-1x-1

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