Hello,
Can you please help me figure out how to solve for t?
5000 = 100*2^(t/3)
thanks
That 500 should be a 50 as pickslides notes. 5000 divided by 100 is 50 not 500
We will take the log of both sides. There are special log rules that you need to remember. Logs were "invented" for dealing with these exact kinds of problems
$\displaystyle \log 50=\log 2^{\frac{t}{3}}$
$\displaystyle \log 50=\frac{t}{3} \log 2$
One of those important log rules is that you can bring down the exponent
now can you solve?