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Q4. a. Solve for a and b in the following system of equations:

2^3a = 7^b;

3^{a - 1} = 13 (8)

b. The impedance Z in an A.C circuit is given by the formula: z = √(R² + (ωL - 1/ωC)² )

Transpose the formula to make C the object (8)