Which if any of: log_7(5/2), log_7(5)/log_7(2), log_7(5)-log_7(2)

Question

Please show steps.. 

 

thanks from the struggling precal student 

Answer 1

When dividing arguments of a log that have common bases, we subtract the logs.  It is a basic property of logarithms.

 

log₇(5 / 2) = log₇(5) - log₇(2)