-2a*In(x)+In(y)=In(5)

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Solution for -2a*In(x)+In(y)=In(5) equation: 


Simplifying
-2a * In(x) + In(y) = In(5)

Multiply a * nI
-2anI * x + In(y) = In(5)

Multiply anI * x
-2anxI + In(y) = In(5)

Multiply nI * y
-2anxI + nyI = In(5)

Reorder the terms for easier multiplication:
-2anxI + nyI = 5nI

Solving
-2anxI + nyI = 5nI

Solving for variable 'a'.

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

Add '-1nyI' to each side of the equation.
-2anxI + nyI + -1nyI = 5nI + -1nyI

Combine like terms: nyI + -1nyI = 0
-2anxI + 0 = 5nI + -1nyI
-2anxI = 5nI + -1nyI

Divide each side by '-2nxI'.
a = -2.5x-1 + 0.5x-1y

Simplifying
a = -2.5x-1 + 0.5x-1y

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