0.85ln(480000-x)+0.15ln(340000-x)=12.812777

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Solution for 0.85ln(480000-x)+0.15ln(340000-x)=12.812777 equation:


Simplifying
0.85ln(480000 + -1x) + 0.15ln(340000 + -1x) = 12.812777
(480000 * 0.85ln + -1x * 0.85ln) + 0.15ln(340000 + -1x) = 12.812777
(408000ln + -0.85lnx) + 0.15ln(340000 + -1x) = 12.812777
408000ln + -0.85lnx + (340000 * 0.15ln + -1x * 0.15ln) = 12.812777
408000ln + -0.85lnx + (51000ln + -0.15lnx) = 12.812777

Reorder the terms:
408000ln + 51000ln + -0.85lnx + -0.15lnx = 12.812777

Combine like terms: 408000ln + 51000ln = 459000ln
459000ln + -0.85lnx + -0.15lnx = 12.812777

Combine like terms: -0.85lnx + -0.15lnx = -1lnx
459000ln + -1lnx = 12.812777

Solving
459000ln + -1lnx = 12.812777

Solving for variable 'l'.

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

Reorder the terms:
-12.812777 + 459000ln + -1lnx = 12.812777 + -12.812777

Combine like terms: 12.812777 + -12.812777 = 0.000000
-12.812777 + 459000ln + -1lnx = 0.000000

The solution to this equation could not be determined.

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