find the center of rotation  of the triangle ABC, if it is rotated to give triangle A'B'C', given that A(4,-2), B(5,-4), C( 6,-1),    A'(4,2), B'(6,3) and C'(3,4).

An attendant at the zoo has a bag of peanuts to feed the monkeys. If the nuts are shared equally among the

7  monkeys in the first room, or among the 11 monkeys in the second room, there will be 3 nuts left over. If the nuts are shared equally among the 13 monkeys in the third room, there will be 10 nuts left over. but if the nuts are shared equally among all the monkeys in all the three rooms, there will be none left over. how many peanuts does the the attendant have?

Solve for x in the following expression.

log x=-4