Prove that the number log29 47 is irrational.

100 3. Evaluate ||-1)'. Do not simply give an answer. You must show intermediate steps that lead to the correct i=1 answer.

Compute the following powers and give your answer in the form a+bi. Use the square root symbol '' where needed to give an exact value for your answer. You may leave powers of real numbers in exponent form, e.g. ¹211¹ 3 2 3 13 125 = 0 0

Theorem 84 Let a be a positive real number. For each real number x, 1. l리= a → 2. 1-피3 |z|.