College Algebra 7th Edition

$x=-15$
RECALL: $\log_a{b} = y \longrightarrow a^y=b$ Use the rule above to obtain: $\log_2{(1-x)}=4 \\\longrightarrow 2^4 = 1-x \\16=1-x$ Subtract $1$ on both sides of the equation to obtain: $16-1=-x \\15=-x$ Multiply $-1$ on both sides of the equation to obtain: $-15 =x$