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

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

There was 243 customers on 5th day .

Step-by-step 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 .

Answer 2

$3^x=243\\ x=5 x=$

5th day