Question

find the value of log13 + log 1/13​

Answer 1

Step-by-step explanation:

Given:-

log13 + log 1/13

To find:-

Find the value of log13 + log 1/13

Solution:-

Method-1:-

Given that

log13 + log 1/13

This is in the form of log a + log b

Where, a = 13

and b = 1/13

We know that

log a + log b = log (ab)

log13 + log 1/13

=> log (13×1/13)

=>log (13/13)

=> log 1

=> 0

Method -2:-

Given that

log13 + log 1/13

We know that a^(-m)=1/a^m

1/13 = 13^(-1)

log 13+log 13^(-1)

We know that log a^m = m log a

=> log 13 +(-1) log 13

=> log 13-log 13

=>0

Answer:-

Answer for the given problem is 0

log 13+ log 1/13 = 0

Used formulae:-

• log a + log b = log (ab)

• a^(-m)=1/a^m

• log a^m = m log a

• log 1 = 0