Question

A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?
Table:
# of hours || algae blooms
0 1
1 3
2 9
3 27

Answer 1

Answer:

$h = \log_{3}{a_h}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

$a_{n} = a_{1}r^{n-1}$

a₀ = 1, r = 3, and n = h

So,

$a_{h} = 3^{h}$

$h = \log_{3}{a_h}$

$h = \log_{3}{6561} = 8$

Answer 2

Answer:

It would be 6561 = 3^h