2. A manufacturer of electronic equipment requires a certain rare metal. He has a reserve supply of 4,000,000 units that he will not be able to replace. If the rate at which the metal is used is given by f(t)=100,000e.03t where t is time in years, how long will it be before he uses his supply?

Question

2.	A manufacturer of electronic equipment requires a certain rare metal.  He has a reserve supply of 4,000,000 units that he will not be able to replace.  If the rate at which the metal is used is given by f(t)=100,000e.03t where t is time in years, how long will it be before he uses his supply?

anonymous · Answer

Set up an inequality:
$$4000000 \ge 100000e^(3t)$$

anonymous · Answer

Remember you can dispel of e^x by taking the natural log.

anonymous · Answer

$$\ln(e^x) = x$$