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I suppose we have to solve the given non-linear logarithmic equation.

solving the given equation:

gives x = 0.218198 approximately.

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This equation can be recursively used to find y. After finding y to the required precision, we find x = y^4.15..

for example:

y = 0.1 => y =

solving the given equation:

gives x = 0.218198 approximately.

=============================

This equation can be recursively used to find y. After finding y to the required precision, we find x = y^4.15..

for example:

y = 0.1 => y =