This is the info from the log:
08:02:05: Audacity 2.0.5
8:02:07 AM: Trying to load FFmpeg libraries...
8:02:07 AM: Trying to load FFmpeg libraries from system paths. File name is 'avformat-52.dll'.
8:02:07 AM: Looking up PATH environment variable...
8:02:07 AM: PATH = 'C:ProgramDataOracleJavajavapath;C:Program FilesCommon FilesMicrosoft SharedWindows Live;C:Program Files (x86)Common FilesMicrosoft SharedWindows Live;C:Windowssystem32;C:Windows;C:WindowsSystem32Wbem;C:WindowsSystem32WindowsPowerShellv1.0;C:Program Files (x86)Windows LiveShared;C:Program Files (x86)QuickTimeQTSystem'
8:02:07 AM: Checking that '' is in PATH...
8:02:07 AM: FFmpeg directory is in PATH.
8:02:07 AM: Checking for monolithic avformat from 'avformat-52.dll'.
8:02:07 AM: Error: Failed to load shared library 'avformat-52.dll' (error 126: the specified module could not be found.)
8:02:07 AM: Loading avutil from 'avutil-50.dll'.
8:02:07 AM: Error: Failed to load shared library 'avutil-50.dll' (error 126: the specified module could not be found.)
8:02:07 AM: Loading avcodec from 'avcodec-52.dll'.
8:02:07 AM: Error: Failed to load shared library 'avcodec-52.dll' (error 126: the specified module could not be found.)
8:02:07 AM: Loading avformat from 'avformat-52.dll'.
8:02:07 AM: Error: Failed to load shared library 'avformat-52.dll' (error 126: the specified module could not be found.)
8:02:07 AM: Error: Failed to load FFmpeg libraries.
8:02:07 AM: Error: Failed to find compatible FFmpeg libraries.