Please help..

1. [2 mark] What is Log4 (256)? Show how you determine the result 2. [2 marks] Given Logz(x) - 2 solve for x. Show how you determine the result 3. [2 marks] Find the tightest integer upper bound and lower bound for x if x - Log13(22). Justify your answer [2 marks] Find answer for the following floor and ceiling functions a) 1 12.3)-? d) [12.0312? g) 10.0011? i) 10.00 1110.00 11=? [2 marks] Solve 3x+ 5>11. Then graph it and show the interval 4. b) 1-12.03? e) 2110.03] = ? h)1-0.0011=? c) 112.031-7 f 10.001 ? i) 1-00011 5. 6. [2 marks] Consider the following inequality: 2-5x 12-4 What interval in the real numbers makes it true? 7. [3 marks] Is the following inequality true or false, for any real number x and y? Justify your answer 8. [Bonus] Prove the property: Log, () -Log(x) - Log>(v). Assume b > 0, b 1, x>0, y>0