Question

8b – 1 = 2^4b + 4

Answer 1

b = ?

Answer 2

\(\large \bf 8^{b-1}=2^{4b+4} ?\)

Answer 3

Yes, thats it.

Answer 4

\(\bf \large {
8^{b-1}=2^{4b+4}\qquad {\color{brown}{ 8=2^3}}\implies {\color{brown}{ (2^3)}}^{b-1}=2^{4b+4}
\\ \quad \\
2^{\underline{3\cdot (b-1)}}=2^{\underline{4b+4}}\implies 3\cdot (b-1)=4b+4
}\)

solve for "b"