I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 6.2 : Logarithm Functions
12. Without using a calculator determine the exact value of \(\log \displaystyle \frac{1}{{100}}\).
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Recalling that the base for a common logarithm is 10 and converting the logarithm to exponential form gives,
\[\log \frac{1}{{100}} = {\log _{10}}\frac{1}{{100}} = ?\hspace{0.25in} \Rightarrow \hspace{0.25in}{10^?} = \frac{1}{{100}}\] Show Step 2Now, we know that if we raise an integer to a negative exponent we’ll get a fraction and so we must have a negative exponent and then we know that \({10^2} = 100\). Therefore, we can see that \({10^{ - 2}} = \frac{1}{{100}}\) and so we must have,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{\log \frac{1}{{100}} = - 2}}\]