0.25ln(80000+0.85x)+0.75ln(100000-0.15x)=ln(95000)

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Solution for 0.25ln(80000+0.85x)+0.75ln(100000-0.15x)=ln(95000) equation:


Simplifying
0.25ln(80000 + 0.85x) + 0.75ln(100000 + -0.15x) = ln(95000)
(80000 * 0.25ln + 0.85x * 0.25ln) + 0.75ln(100000 + -0.15x) = ln(95000)
(20000ln + 0.2125lnx) + 0.75ln(100000 + -0.15x) = ln(95000)
20000ln + 0.2125lnx + (100000 * 0.75ln + -0.15x * 0.75ln) = ln(95000)
20000ln + 0.2125lnx + (75000ln + -0.1125lnx) = ln(95000)

Reorder the terms:
20000ln + 75000ln + 0.2125lnx + -0.1125lnx = ln(95000)

Combine like terms: 20000ln + 75000ln = 95000ln
95000ln + 0.2125lnx + -0.1125lnx = ln(95000)

Combine like terms: 0.2125lnx + -0.1125lnx = 0.1lnx
95000ln + 0.1lnx = ln(95000)

Reorder the terms for easier multiplication:
95000ln + 0.1lnx = 95000ln

Add '-95000ln' to each side of the equation.
95000ln + -95000ln + 0.1lnx = 95000ln + -95000ln

Combine like terms: 95000ln + -95000ln = 0
0 + 0.1lnx = 95000ln + -95000ln
0.1lnx = 95000ln + -95000ln

Combine like terms: 95000ln + -95000ln = 0
0.1lnx = 0

Solving
0.1lnx = 0

Solving for variable 'l'.

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

Divide each side by '0.1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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