# Log problem

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• August 4th 2012, 07:59 AM
dan713
Log problem
Hi, I have a problem with a question I found. It says find the value of each of the following. Leave your answers as fractions where appropriate. Do not change bases. The question I am having trouble with is in the attachment, I have never seen an equation like this so please help me out :)
• August 4th 2012, 08:09 AM
skeeter
Re: Log problem
$10^{-10\log{3}} = 10^{\log{3^{-10}}} = 3^{-10} = \frac{1}{3^{10}}$