MATH107 Quiz-5 Write solutions on a separate paper 4. For the given function f(x) = 5 x 6 find Inverse function f-1(x) and calculate f- (5) 1 log 2 5. Find a 1 32 without using a calculator. Show work. Remember: 1 an = n 7. Express in terms of sums and differences of logarithms: log a x3 y6 z5 9. Solve the logarithmic equation: log(x + 5) - log(x - 4) = 1 (log is log10 ) 11. The temperature is rising according to the formula: T = 50 + 3020.018 t where t is time in minutes. Use this formula to find temperature after one hour. Round the answer to the nearest whole number. 12. The number of high schools in a town is modeled by the formula: N ( t )= 35 1+6 e0.1t where t is years after year 2000. a) Find and interpret N(0). b) How many high schools can we expect by the year 2020? Round the answer to the nearest whole number