Question

Help help help on this

Answer 1

ANSWER

C. 2.402

EXPLANATION

Given that:

$log_{3}(2) = 0.631$

$log_{3}(7) = 1.771$

We want to evaluate:

$log_{3}(14) = log_{3}(2 \times 7)$

Use the product rule of logarithms.

$log_{a}(mn) = log_{a}(m) + log_{a}(n)$

$log_{3}(14) = log_{3}(2) + log_{3}(7)$

$log_{3}(14) = 0.631 + 1.771$

$log_{3}(14) = 2.402$

The third choice is correct.