First let us find


Now let;s solve the second part
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:

In which k is the growth rate.
By separation of variables, the solution is given by:

In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is 
Answer:
<h3>C. 180 square inches</h3>
Step-by-step explanation:
<h2>#carry on learning </h2><h2>#mark brainlits</h2>
Answer:

Step-by-step explanation:
3x=6x-2
Subtract '3x' from both sides
0=3x-2
Add '2' to both sides
2=3x
Divide by 3
x=2/3
If you need the answer in decimal form divide 2 by 3