Answer:
6
Step-by-step explanation:
We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,
⇒5⁶ × 5^b = 5¹²
⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]
On comparing the bases and powers we have ,
⇒ 6 + b = 12
⇒ b = 12 - 6
⇒ b = 6
Hence the value of b is 6 .
