Insira o bloco HTML e o conteúdo dinâmico
document.getElementById("log-menu").innerHTML = `
<a href="#">
${data.user.email}
</a>
<div class="dropdown-menu p-3 dropdown-menu-right">
<div class="form-group">
<label for="email1">Logged in as:</label>
<p>${data.user.email}</p>
</div>
<button onClick="getLogout()" ">Sign out</button>
</div>
`
Idaho Potato