Answer
$-2.09$
Work Step by Step
$0.5^x-0.25=4$
(Add both sides with $0.25$)
$0.5^x=4.25$
(Use the property $a^x=y\Leftrightarrow x=\log_a y$)
$x=\log_{0.5}4.25$
(Compute the value of $x$)
$x=-2.087462....$
$x\approx -2.09$
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