How many numbers between 100 and 200 can be expressed as powers of 2? show the steps you followed.
which power of 2 is closest to 1000? show your work

Let x = the number 2 must be raised to to make 100
Let y = the number 2 must be raised to to make 200













So the integer powers of 2 that would fall between 100 and 200 are between 6.64 and 7.64 - 7 is the only one.

Following a similar method for the second question:
Let z = the number 2 must be raised to to make 1000







So  is the closest power of 2 to 1000.