[tex]Domain:x > 0\\\\\log_2x-3=1\qquad\text{add 3 to both sides}\\\\\log_2x=4\qquad\text{use de}\text{finition of logarithm}:\ \log_ab=c\iff a^c=b\\\\\boxed{x=2^4}\to\boxed{b)}[/tex]
Answer:
b) 2^4
Step-by-step explanation:
[tex](\log_2 x) - 3 = 1[/tex]
[tex] \log_2 x = 4 [/tex]
[tex] \log_2 x = 4 [/tex]
[tex] 2^4 = x [/tex]
[tex] x = 2^4 [/tex]