You can put this solution on YOUR website!
You're given n(t) =1000 and you've been asked to find t:
So solve for t we're going to "peel away" the rest of the right side (i.e. the 20 and the 3). We'll start by dividing both sides by 20:
Next, to get rid of the 3, we will need to use logarithms. If 50 and
are equal then their logarithms are equal, too. (You should use a base for the logarithms that your calculator can handle. Usually base 10 or base e (aka natural) logarithms are best.):
Now we can use the property of logarithms,
, to "move" the t out of the exponent:
We can now solve for t by dividing both sides by
For our final answer we can use our calculator on the two logarithms on the left side:
Of course you can round off these decimals as you prefer.