Question

Help help help on this

Answer 1

C. 2.402

Step-by-step explanation

Given that:

`log_(3)(2) = 0.631`

`log_(3)(7) = 1.771`

We want to evaluate:

`log_(3)(14) = log_(3)(2 * 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.