I can't see any closing tag for your update panels like
</ajax:UpdatePanel>
The most likely scenario is that asp is trying to fix this issue by adding closing tags, but in the wrong places. You need to close of both update panels in the markup:
<asp:Panel ID="ActivityLogRptPanel" HorizontalAlign="Center" runat="server">
<ajax:UpdatePanel ID="ActivityLogUpdatePanel" runat="server" ChildrenAsTriggers="false"
RenderMode="Inline" UpdateMode="Conditional">
<contenttemplate>
<br />
<table id="tblActivityLog" style="border-collapse: collapse; border-spacing: 0; padding: 0;<br mode=" hold=" /> width: 100%;" align="left">
<tr>
<td style="align-self: center">
<table class="TblReportHeader" id="tblActivityLogHeader" style="align-self: center;<br mode=" hold=" /> border-collapse: collapse; border-spacing: 0; padding: 0; border-right: #91c9c9 1px solid;<br mode=">
<tr style="height: 23px">
<td width="8px">
</td>
<td align="left" width="980px">
<asp:Label runat="server" ID="RptCriteriaLabel" ForeColor="#930000">
</td>
</tr>
</table>
</td>
</tr>
<tr>
<td style="align-self: center">
<telerik:RadGrid runat="server" ID="ActivityLogRptRadGrid" Height="320px" Width="990px"
AutoGenerateColumns="False" CellPadding="0" GridLines="Both" AllowSorting="false"
AllowPaging="false" EnableEmbeddedSkins="false" BackColor="Transparent" HorizontalAlign="left"
OnExcelMLExportStylesCreated="ActivityLogRptRadGrid_StyleCreated" >
<uc1:CustomPager ID="customPager" runat="server" />
</td>
</tr>
</table>
</contenttemplate>
<triggers>
<ajax:asyncpostbacktrigger controlid="ActivityLogRptRadGrid" xmlns:ajax="#unknown" />
</triggers>
</ajax:UpdatePanel>
<ajax:UpdatePanel RenderMode="Inline" ID="ContainButtonsUpdatePanel" runat="server"
UpdateMode="Conditional" ChildrenAsTriggers="false"> <contenttemplate>
<table class="tblformat">
<tr>
<td>
<table>
<tr style="height: 2%">
<td>
</td>
</tr>
<tr>
<td>
<table id="tblButtonsStatement" style="border-collapse: collapse; border-spacing: 0;<br mode=" hold=" /> padding: 0; width: 100%; height: 50px; border: 0">
<tr>
<td style="vertical-align: bottom; width: 40%;">
<table id="tblTotals" style="border-collapse: collapse; border-spacing: 0; padding: 0;<br mode=" hold=" /> border-right: black 1px solid; border-top: black 1px solid; border-left: black 1px solid;<br mode=">
<tr style="height: 40%">
<td class="TblHeader" style="vertical-align: middle; border-removed black 1px solid;<br mode=" hold=" /> background-color: #91C9C9;" colspan="3">
<asp:Label ID="TotalsLabel" Font-Size="12px" Font-Bold="True" runat="server">Status Update Totals
</td>
</tr>
<tr style="height: 30%">
<td style="border-removed black 1px solid">
<asp:Label ID="ConditionAffirmedLabel" runat="server" Font-Size="12px">Conditions AFFIRMED
</td>
<td style="border-removed black 1px solid; border-removed black 1px solid">
</td>
<td style="border-removed black 1px solid">
<asp:Label ID="ConAffirmedValuesLabel" runat="server" Font-Size="12px">0
</td>
</tr>
<tr style="height: 30%">
<td>
<asp:Label ID="ConDeniedLabel" runat="server" Font-Size="12px">Conditions DENIED
</td>
<td style="border-removed black 1px solid; width: 5%">
</td>
<td width="20%">
<asp:Label ID="ConDeniedValueLabel" runat="server" Font-Size="12px">0
</td>
</tr>
</table>
</td>
<td style="vertical-align: middle; width: 30%;">
<ajax:UpdateProgress runat="server" ID="UpdateProgressLinkButton" AssociatedUpdatePanelID="ActivityLogUpdatePanel">
</td>
<td style="vertical-align: middle; width: 10%">
<asp:Button ID="PrintButton" runat="server" CausesValidation="False" Width="50px"
Text="Print" Visible="false" Height="30px" Font-Bold="True" OnClick="PrintButton_Click">
</td>
<td style="vertical-align: middle; width: 10%">
</td>
<td style="height: 30px; vertical-align: middle; width: 10%">
<button id="ExportButton" type="button" alt="Excel" runat="server" accesskey="x"
>
Export to Excel
</button>
</td>
</tr>
</table>
</td>
</tr>
</table>
</td>
</tr>
</table>
</contenttemplate>
<triggers>
<ajax:postbacktrigger controlid="ExportButton" xmlns:ajax="#unknown" />
</triggers>
</ajax:UpdatePanel>