Question

Given log3^2=0.631 and log3^7=1.771, what is log3^14?

a. 1.118

b. 1.893

c. 2.402

d. 3.542

Answer 1

c

Explanation:

edge2020

Answer 2

C.
`log_3(14)=2.402`

Explanation:

It was given that;

`log_3(2)=0.631` and
`log_3(7)=1.771`.

We want to evaluate
`log_3(14)`.

We need to use the property of logarithms to express
`log_3(14)` in terms of the two given logarithms.

Thus;

`log_3(14)=log_3(7* 2)`

Recall that;

`log_a(M* N)=log_a(M)+log_a(N)`

This implies that

`log_3(14)=log_3(2)+log_3(7)`

`log_3(14)=0.631+1.771`

`\Rightarrow log_3(14)=2.402`

Therefore the correct answer is C