condense log 1/2(logM-logN-logP)

Question

help me condense this and show work!!

Answer 1

Hi, Morgan!

 

I've never condensed a log problem that had 3 subtractions in a row, but the rule should still hold true:

Log A - Log B = Log (A/B)  (In words, that's Log of A minus the Log of B equals the Log of A divided by B).

 

Also, subtraction is done as you read from left to right.  So, I would do something like this:

 

log_1/2(logM - logN - logP) = log_1/2(logM/N - logP) = log_1/2(log[M/N]/P) = log_1/2(logM/NP)*

 

*Note: log([M/N]/P) can be rewritten as log(M/NP)

M  ÷  P  =  M  *  1   =   M 

N               N      P       NP

 

I'm not sure if the log of a log can be simplified further.  If it can go further, this at least gets you started.

 

Good luck!

 

Patty