# 0.25=(1/2)^(t/4)?

Jun 7, 2018

$t = 8$

#### Explanation:

You don't really ask what you want to know, but my guess is that you want to know what t is.

Note that $0.25 = {\left(\frac{1}{2}\right)}^{2}$

Therefore you want a t so that ${\left(\frac{1}{2}\right)}^{2} = {\left(\frac{1}{2}\right)}^{\frac{t}{4}}$
This gives
$\frac{t}{4} = 2$
or $t = 8$