Question

Plz help me with these two math problems

Answer 1

Please check the explanation.

Explanation:

Given the function representing the number of customers on day x

f(x) = 3ˣ

Part A)

We need to determine the day when there are 243 customers.

so substitute f(x) = 243 in the function

`f\left(x\right)\:=\:3^x`

Part B)

Solving the equation

`f\left(x\right)\:=\:3^x`

`243\:=\:3^x`

as 2⁵ = 243, so

`\:2^5=3^x\:`

x = 5

The value of x = 5

Part C)

As the value of x = 5

Therefore, on the 5th day, there would be 243 customers.