Simplify the following, using only positive exponents. Do not evaluate. O a ) 12 x 4 3 O b) FIT O c ) ( 236 - 1) 2 x ( a - 184 ) 2 O d) (1-ly2z) x(ryz) Question 2 (4 points) () Listen For the following function, state: i. the domain and range ii. the y-intercept and iii. the horizontal asymptote Of ( 2 ) = - (1 ) 2 - 3Question 3 (4 points) () Listen The half-life of a radioactive material is 3175 years. If there is 400 grams of the radioactive material today, when would there be 25 grams still radioactive? Question 4 (8 points) () Listen Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: Oaf(x) = 9z O b) f (I) = (8) O c) f(x) = log12 2 O d) f (z) = log; x Question 5 (6 points) ) Listen Solve for all possible values of x within the domain of the following logarithmic expressions. O a) log, (log2a) = 1 O b) 3(log27) = 9Question 6 (12 points) () Listen In the following exponential relations, solve for x using logarithms. Round your answers to 4 decimal places. a) 97 = 45 O b) 72-2= 70 O c) 531 = 65 O d) 22z+3 = 80 Question 7 (8 points) () Listen O A small town records a small earthquake of magnitude 3.2. One year later, the same town records another earthquake of magnitude 4.1. How much more intense was the second earthquake than the first