# How solve it? In a laboratory a record of the number of bacteria is kept, in millions, that grow as a function of time for two different samples. If the first sample is expressed by 2^10t and the second by 4^t (8^1-4t), where T represents the time

##### 1 Answer

Answer:

#### Explanation:

In a laboratory a record of the number of bacteria is kept, in millions, that grow as a function of time for two different samples. If the first sample is expressed by

To find

Note that

Here, since we are multiplying two exponential terms with the same base, we can add the exponents:

Since we now have the same base on both sides, we can simply solve for

Since exponential and logarithmic functions are inverse functions, they cancel, giving us:

Now, we can solve for

**Therefore, at #t=3/20=0.15# the bacteria samples have equal amounts.**

If it is necessary to find the amount of bacteria in each sample, we can substitute into the first expression