Find the value of log5v1.

Question

Find the value of log5√1.

Answer 1

log₅(√1) = log₅(1^1/2)

 

Use the log identity log(a^b) = b log(a):

 

log₅(1^1/2) = (1/2)log₅(1)

 

Another log identity: log(1) = 0:

 

log₅(1^1/2) = (1/2)log₅(1) = (1/2)*0 = 0