Question

What is the value of x in log2 (x)-3=1 A) 2^2 b) 2^4 c) 2^3 d) 2^1

Answer 1

$Domain:x > 0\\\\\log_2x-3=1\qquad\text{add 3 to both sides}\\\\\log_2x=4\qquad\text{use de}\text{finition of logarithm}:\ \log_ab=c\iff a^c=b\\\\\boxed{x=2^4}\to\boxed{b)}$

Answer 2

$\log_2 x - 3 = 1$

$\log_2 x = 4$

$x = 2^4$