ANSWER
C. 2.402
EXPLANATION
Given that:
[tex] log_{3}(2) = 0.631[/tex]
[tex]log_{3}(7) = 1.771[/tex]
We want to evaluate:
[tex]log_{3}(14) = log_{3}(2 \times 7)[/tex]
Use the product rule of logarithms.
[tex] log_{a}(mn) = log_{a}(m) + log_{a}(n)[/tex]
[tex]log_{3}(14) = log_{3}(2) + log_{3}(7)[/tex]
[tex]log_{3}(14) = 0.631 + 1.771[/tex]
[tex]log_{3}(14) = 2.402[/tex]
The third choice is correct.
