3 years ago

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

2 answers:

5 0

In logarithm, inverse operations are applied.
$log_3{14} = log_3{7} + log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402$

-BARSIC- [3]3 years ago

3 0

Answer:

2.402

Step-by-step 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

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