1 point Let fx e Solve each of the following equations exac

(1 point) Let f(x) = e\". Solve each of the following equations exactly for z. (a) ( f(z) 18 (b) f-1 (z) 18 (c),(Z-1) = 18

Solution

a. (e^x)^-1=18

e^-x=18

-x= ln 18

x=-ln 18

b. f^-1(x)

f(x)=y=e^x

switching x and y

x=e^y

y= ln x

f^-1(x)= ln x

ln x=18

x=e¹⁸

c.f(x^-1) = e^{x^-1}= e^1/x

e^1/x=18

x=1/ln 18