exponential and logarithmic functions

5. Using your knowledge of the laws of logarithms, evaluate the following expressions. State your solutions in exact values where applicable. [2K each a) log4( 1024) b) log 1000 1083 ( 72) c) log618 - 10g62 d) 1083 ( 729 ) Application: 6. Graph f(x) = 5log, V2x - 4 - 3 on the grid provided. Be sure to indicate the mapping function used and the asymptote(s). [5A] 7. A very rare element will go from 100g to 22g in 4 hours 33 minutes. Determine how long it took for the sample to become 50g. [3A]