Question

step by step

7) (10 pts) Solve for x and y in the following expressions: (a) 0.38 log (x) (b) 0.38 In (y)

Answer 1

(a) 0.38 = log_a(x) [For log x if base is not mentioned we take it as 10] 10^0.38 = 10^log_a(x) [a6log_a x = x] 10^0.38 = x x = 10^0.38 or x = 2.4 (b) 0.38 = ln (y) for ln (x), we have log_e(a). 0.38 = log_e (y) applying e power on both sides, we get e^0.38 = e^log_e (y) e^0.38 = (y) [because a^log_a x = x] y = e^0.38 y = 1.46