Answer: Equation to solve the problem : [tex]243 = 3^x[/tex]
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 [tex]f(x) = 3^x [/tex] represents the number of customers on day x.
Substitute f(x) =243 in the given equation , we get
[tex]243 = 3^x[/tex]
Also, we know that [tex]3^5=243[/tex]
[tex]\Rightarrow 3^5 = 3^x[/tex]
The bases are same it implies the exponents must be equal.
[tex]x=5[/tex]
Hence, There was 243 customers on 5th day .
