Assume that the non linear system of equations $\"\"$ .

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Solve the equation 1: $\"\"$ for x.

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Apply Power property of Natural logarithm : $\"\"$ .

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$\"\"$

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Apply One - to One property of Natural logarithm : If $\"\"$ , then $\"\"$ .

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$\"\"$ .

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Substitute the value of $\"\"$ in the equation 2: $\"\"$ and solve for y.

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$\"\"$

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$\"\"$

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$\"\"$

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Apply Quotient property of Logarithm with base a : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Definition of logarithmic function of with base a : For $\"\"$ .

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$\"\"$ and $\"\"$ .

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The solution $\"\"$ .

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Assume that the non linear system of equations $\"\"$ .

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Substitute the value of $\"\"$ in the equation 2: $\"\"$ and solve for y.

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$\"\"$

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$\"\"$

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$\"\"$

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Apply Quotient property of Logarithm with base a : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Definition of logarithmic function of with base a : For $\"\"$ .

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$\"\"$ and $\"\"$ .

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The solution $\"\"$ .

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Assume that the non linear system of equations $\"\"$ .

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Similarly, the solutions is $\"\"$ .