Answer:
2.402
Step-by-step explanation:
Given [tex]log_3 2=0.631[/tex]
[tex]log_3 7=1.771[/tex]
we need to find out [tex]log_3(14)[/tex]
we know 14 = 7 * 2
[tex]log_3(14)=log_3(7*2)[/tex]
Apply log property
log mn= log m + log n
[tex]log_3(7*2)=log_3(7) + log_3(2)[/tex]
Plug in the given vales for log
[tex]log_3(7*2)=1.771 + 0.631)[/tex]
= 2.402
