Rewrite in logarithmic form.
-The population growth of an animal species is described by F(t) = 600 + 60 log3 (2t + 1) where t is the number of months since the species was introduced. Find the population of this species in an
Area 40 month(s) after the species is introduced.
A) 840
B) 5460
C) 2750
D) 430

Question

Quizplus · Accepted Answer

To find the population 40 months after the species was introduced, substitute $t = 40$ into the given formula: $F(t) = 600 + 60 \log_3 (2t + 1)$. This gives $F(40) = 600 + 60 \log_3 (2(40) + 1) = 600 + 60 \log_3 (81)$. Since $3^4 = 81$, $\log_3 (81) = 4$. Thus, $F(40) = 600 + 60 \times 4 = 600 + 240 = 840$.

Rewrite in Logarithmic Form