Question

the number of customers at a new taco truck triples every day for a week. the function f(x) = 3^x represents the number of customers on day x. On what day was there 243 customers? Write an equation to solve the problem.

Answer 1

`3^x=243\\ x=5 x=`

5th day

Answer 2

Answer: Equation to solve the problem :
`243 = 3^x`

There was 243 customers on 5th day .

Explanation:

Given: The number of customers at a new taco truck triples every day for a week. the function
`f(x) = 3^x` represents the number of customers on day x.

Substitute f(x) =243 in the given equation , we get

`243 = 3^x`

Also, we know that
`3^5=243`

`\Rightarrow 3^5 = 3^x`

The bases are same it implies the exponents must be equal.

`x=5`

Hence, There was 243 customers on 5th day .