# Adding Almost One Logs

**Algebra**Level 1

Find the sum

\[\log \dfrac{1}{2} + \log \dfrac{2}{3} + \log \dfrac{3}{4} + \cdots + \log \dfrac{99}{100} .\]

**Clarification:** The base of the logarithms is 10.

Find the sum

\[\log \dfrac{1}{2} + \log \dfrac{2}{3} + \log \dfrac{3}{4} + \cdots + \log \dfrac{99}{100} .\]

**Clarification:** The base of the logarithms is 10.

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