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

Answer:

C. $log_3(14)=2.402$

Step-by-step 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;

$log_3(14)=log_3(7\times 2)$

Recall that;

$log_a(M\times N)=log_a(M)+log_a(N)$

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

Answer 2

Answer:

c

Step-by-step explanation:

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