Which expression is equivalent to log c x2-1/5x
2 answers:
Hello! For this problem we need to make use of two existing logarithmic properties. These are:
1.
is equal to 
2.
is equal to 
Following the first property, we can simplify the expression to
.
Then, we will use the second property to the term 5x. The final form of the expression would then be
.
ANSWER: (third option)
1.
2.
Following the first property, we can simplify the expression to
Then, we will use the second property to the term 5x. The final form of the expression would then be
ANSWER:
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Answer:
And if we integrate both sides we got:
Where C is a constant., we can rewrite the expression like this:
If we square both sides we got:
If we use the initial condition we have that:
And we can solve for C like this:
And now we can find the derivate of the function and we got:
Using the condition we got:
k= 1
And then the model is defined as:
And for t =12 months we have:
Step-by-step explanation:
For this case we cna use the proportional model given by:
Where k is a proportional constant, P the population and the represent the number of months
For this case we know the following initial condition and
we can rewrite the differential equation like this:
And if we integrate both sides we got:
Where C is a constant., we can rewrite the expression like this:
If we square both sides we got:
If we use the initial condition we have that:
And we can solve for C like this:
And now we can find the derivate of the function and we got:
Using the condition we got:
k= 1
And then the model is defined as:
And for t =12 months we have: