natlog(37-x)-natlog(75-x)=-1.37

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Solution for natlog(37-x)-natlog(75-x)=-1.37 equation:


Simplifying
natlog(37 + -1x) + -1natlog(75 + -1x) = -1.37
(37 * aglnot + -1x * aglnot) + -1natlog(75 + -1x) = -1.37
(37aglnot + -1aglnotx) + -1natlog(75 + -1x) = -1.37
37aglnot + -1aglnotx + (75 * -1aglnot + -1x * -1aglnot) = -1.37
37aglnot + -1aglnotx + (-75aglnot + 1aglnotx) = -1.37

Reorder the terms:
37aglnot + -75aglnot + -1aglnotx + 1aglnotx = -1.37

Combine like terms: 37aglnot + -75aglnot = -38aglnot
-38aglnot + -1aglnotx + 1aglnotx = -1.37

Combine like terms: -1aglnotx + 1aglnotx = 0
-38aglnot + 0 = -1.37
-38aglnot = -1.37

Solving
-38aglnot = -1.37

Solving for variable 'a'.

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

Divide each side by '-38glnot'.
a = 0.03605263158g-1l-1n-1o-1t-1

Simplifying
a = 0.03605263158g-1l-1n-1o-1t-1

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