Math
posted by Jon on .
Evaluate log(6)√6 (actual question)
There's a problem in my book that says:
Convert each logarithm to a natural logarithm and evaluate log(5)√288
the answer in the back is 1.7593 but I can't find an example of those kinds.

your book should show two of several important properties of logs
1. log_{a} a = 1
2. log_{a} b = log_{10} a/log_{10} b
in log(5)√288 they used #2 rules
log(5)√288
= log(√288)/log 5
= log(16.97056275)/log5
= 1.22969244/.69897 1.759297
for the first of your questions we don't even have to use that
log_{6} √6
= (1/2)log_{6} 6
= (1/2)(1)
= 1/2