x*ln(y)+y^4=ln(x)

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Solution for x*ln(y)+y^4=ln(x) equation:


Simplifying
x * ln(y) + y4 = ln(x)

Multiply x * ln
lnx * y + y4 = ln(x)

Multiply lnx * y
lnxy + y4 = ln(x)

Multiply ln * x
lnxy + y4 = lnx

Solving
lnxy + y4 = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
lnxy + -1lnx + y4 = lnx + -1lnx

Reorder the terms:
-1lnx + lnxy + y4 = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1lnx + lnxy + y4 = 0

Add '-1y4' to each side of the equation.
-1lnx + lnxy + y4 + -1y4 = 0 + -1y4

Combine like terms: y4 + -1y4 = 0
-1lnx + lnxy + 0 = 0 + -1y4
-1lnx + lnxy = 0 + -1y4
Remove the zero:
-1lnx + lnxy = -1y4

Combine like terms: -1y4 + y4 = 0
-1lnx + lnxy + y4 = 0

The solution to this equation could not be determined.

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