Question

Given log3 2=0.631 log3 7=1.771 what is log3 14?

Answer 1

In logarithm, inverse operations are applied.

`log_3{14} = log_3{7} + log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402`

Answer 2

2.402

Explanation:

Given
`log_3 2=0.631`

`log_3 7=1.771`

we need to find out
`log_3(14)`

we know 14 = 7 * 2

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

Apply log property

log mn= log m + log n

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

Plug in the given vales for log

`log_3(7*2)=1.771 + 0.631)`

= 2.402