Inactive Tutor answered • 07/22/13
Chris, you have to clarify the base of second "inner" logarithm. I might assume that bases are the same, and the problem will be:
log3 (log3 3x) = 1 , and according to properties of logarithm [logb b = 1 and log(ab) = log (a) + log (b)]
we have:
log3 3 + log3 x = 3
1 + log3 x = 3
log3 x = 2
32 = x
x = 9
Inactive Tutor
Yes, it is. But how about human factor?
07/22/13
Inactive Tutor
I just was watching international standards (ISO 31), that defines mathematical signs and symbols for use in physical sciences and technology. Sign for logarithm with base 10 is "lg" , and many countries are using this sign. For me it makes more sense, because
it's more likely to forget write the base, than forget to write "o" :)
Anyway, our recipient has 2 versions of the answer ...
07/22/13
Inactive Tutor
Interesting. I never seen that notation in any of my text books from college or high school for that matter but I have seen it on another question around here and I thought that was a typo. I learn something new everyday, thank you for sharing that I'll be sure to remember :). Yes he does, hopefully they are both helpful.
07/22/13
Inactive Tutor
You're very welcome, Xavier!
Me too :) is learning something new here ...
07/22/13
Inactive Tutor
If no base is specified then it is understood to be base 10
07/22/13