# Math Help - How can i solve the problem?

1. ## How can i solve the problem?

solve the equation
5=580e^(-t(ln2)/7.2)

what is the final answer for t?

2. $5=580e^{\frac{-t(ln(2))}{7.2}}$
$ln(5)=ln(580e^{\frac{-t(ln(2))}{7.2}}) = ln(580) + ln(e^{\frac{-t(ln(2))}{7.2}})$
$ln(5) - ln(580) = \frac{-t(ln(2))}{7.2}$
$\frac{7.2}{ln(2)}(ln(5) - ln(580)) = -t$
$\frac{7.2}{ln(2)}(ln(\frac{580}{5})) = \frac{7.2}{ln(2)}(ln(116)) = t$

3. thanks a lot!!!~ have a nice weekend