Answer:
b = - 7
Step-by-step explanation:
[tex]8^{(b-1)} = 2^{(4b + 4)}\\\\\\(2^{3})^{(b-1)} = 2^{(4b+4)}\\\\2^{3*(b-1)}= 2^{(4b+4)}\\\\2^{(3b-3)}=2^{(4b+4)}[/tex]
Now, base are same. So, we can compare the powers.
3b - 3 = 4b + 4 {Subtract '3b' from both sides}
-3 = 4b + 4 - 3b
-3 = 1b + 4 {subtract 4 from both sides}
-3 - 4 = b
b = -7
