1.
The least value of ∣z∣|z|, where zz is a complex number which satisfies the inequality e((∣z∣+3)(∣z∣−1)∣z∣+1∣ log⁡e2)≥log⁡2∣57+9i∣e^{\left(\frac{(|z|+3)(|z|-1)}{|z|+1|\,\log_e 2}\right)} \geq \log_{\sqrt{2}}|5\sqrt{7} + 9i|, i=−1i = \sqrt{-1}, is equal to: