SOLUTION: 10log base 1o of m plus 2log base 10 of n minus log base 10 of p or 10log_m+2log_n -log_⁡p the base is 10 I could not write in mathematical form Thanks,

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 10log base 1o of m plus 2log base 10 of n minus log base 10 of p or 10log_m+2log_n -log_⁡p the base is 10 I could not write in mathematical form Thanks,       Log On


   



Question 1038775: 10log base 1o of m plus 2log base 10 of n minus log base 10 of p
or
10log_m+2log_n -log_⁡p the base is 10
I could not write in mathematical form
Thanks,

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Notation: in plain text is log_b(x). Most folks assume base 10 if the base is omitted, so log(x) is generally interpreted as log_10(x). So your note that the logs are base 10 is appropriate because sometimes is used to mean which is . Also, get into the habit of putting the argument of the log in parentheses -- eliminates confusion.

So 10log_10(m) + 2log_10(n) - log_10 and (All logs base 10) 10log(m) + 2log(n) - log(p) would both have been interpreted as:



Rules:



The sum of the logs is the log of the product.

The difference of the logs is the log of the quotient.

So:



John

My calculator said it, I believe it, that settles it