1. If 4^x=3, what is 4^2x-2?
2. Write 2^2010 + 2^2008 / 2^2005 - 2^2003 in the simplest form.
3. If we know that b(b^4 * b^3)^2 = b^3x for all real numbers b, what is the value of x?
4. Enter all real solutions to (m-4)^4 = (1/16)^-1
5. Enter all positive solutions to 4x^1/3 - 2 x/x^2/3 = 7 + 3 root x
6. Integers m and n satisfy the equation 6^m * 3^n = 2592. What is the value of 6^n * 3^m?
7. Enter all solutions to (x-2)^25-x^2 = 1.
