If logx916=-12 , the value of the base is -
A
16/9
B
9/16
C
256/81
D
81/256
Correct Answer: 256/81
Given, logx916 = - 12⇒x - 12 = 916⇒11x2 = 916⇒x12 = 169⇒(x12)2 = (169)2⇒x22 = 25681.'. x = 25681