If x and a are integers and (15^x + 15^(x+1))/4^a = 15^a what is the value of x?
Choose the most appropriate option:
A) 2
B) 3
C) 4
D) 5
E) Cannot be determined
\frac{15^x( 1+ 15)}{4^a} = 15^a   (15^x . 4^2 ) / 4^a = 15^a. 4^0   15^x . 4^(2-a) = 15^a. 4^0   Equating the powers, x = a; 2-a = 0; So x = a = 2=2
<result>A</result>
If x and a are integers and (15^x + 15^(x+1))/4^a = 15^a what is the value of x?