1. Let f(x) = 4 . 5* and g(x) = 3*+2. a) [4] Find the value of x where f (x) = g(x). b) [2] Find the point of intersection between the graphs y = 4 . 5* and y = 3*+2 2. [4] A colony of 120 bacteria results in 4745 after 2 hours. What was the doubling period?3. The radioactive element "Chunium" has a half=life of can rears. Soil that contains more than 25 pph (parts per billion} of Chunium is considered unsafe. a} [4] [,'in a construction site, a soil sample which contained 316 pph of Chunium. How long will it take for the site to he considered safe for humans? b] [3] It was estimated that the contamination happened T5 years ago. How much Chunium was released in the original soil sample? 4. a) [1] Use the log laws to show that loga b = ; 1 logb a b) [1] Show that log2 x = 2 log4 x. Hint: Use the change of base 2->4 & Use LS=RS idea from identities. c) [2] Solve the equation: Note: You may use part a & b even if you didn't solve them. logz (x + 8) + log4 (x + 1) = 3