The oregon trail is 2,197 miles long. how long would it take a covered wagon traveling 20 miles a day to complete the trip? write the answer as a mixed number.

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3