# Math Help - solving for t....

1. ## solving for t....

solve N(t)=N(base 0)(2)^t/d

now seeing as there is...well really three variables,your not going to get a solid answer for t are you? and what exactly does it mean with the N with the zero below it,listed as a base,wouldn't it be a subscript?

2. Originally Posted by dan123
solve N(t)=N(base 0)(2)^t/d

now seeing as there is...well really three variables,your not going to get a solid answer for t are you? and what exactly does it mean with the N with the zero below it,listed as a base,wouldn't it be a subscript?
$N = N_02^{t/d}$

$\Rightarrow \frac N{N_0} = 2^{t/d}$

$\Rightarrow \log_2 \frac N{N_0} = \frac td$

$\Rightarrow t = d \cdot \log_2 \frac N{N_0}$