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September 19, 2014

September 19, 2014

Posted by **Jon** on Wednesday, April 22, 2009 at 2:30pm.

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.

- Math -
**Reiny**, Wednesday, April 22, 2009 at 2:47pmyour 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

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