Question

I need help please !!!!

Answer 1

`8^(b-1)=2^(4b+4)\\\\\left(2^3\right)^(b-1)=2^(4b+4)\\\\2^(3(b-1))=2^(4b+4)\iff3(b-1)=4b+4\\\\3b-3=4b+4\ \ \ |+3\\\\3b=4b+7\ \ \ |-4b\\\\-b=7\to \boxed{b=-7}`


`\text{check:}\\\\L_s=8^(-7-1)=8^(-8)=(2^3)^(-8)=2^(3\cdot(-8))=2^(-24)\\\\R_s=2^(4\cdot(-7)+4)=2^(-28+4)=2^(-24)\\\\L_s=R_s\ \ \ \text{CORRECT :)}`


`\text{Used:}\\(a^n)^m=a^(n\cdot m)`