Answer:
b = - 7
Step-by-step explanation:
note that 8 = 2³, hence
( 2³)^(b - 1) = [tex]2^{4b+4}[/tex]
since the bases on both sides of the equation are 2, equate the exponents
4b + 4 = 3b - 3 ( subtract 3b from both sides )
b + 4 = - 3 ( subtract 4 from both sides )
b = - 7