If 2^(2w) = 8^(w−3), what is the value of w?
Choose the correct answer:
A) 3
B) 6
C) 9
D) 12
E) 15
2^(2w) = 8^(w−3)   2^(2w) = 2^(3*(w−3))   2^(2w) = 2^(3w-9)   Let's equate the exponents as the bases are equal.   2w = 3w-9   w = 9   The answer is 9.
<result>C</result>
If 2^(2w) = 8^(w−3), what is the value of w?