Converting glm::lookat matrix to quaternion and back

Converting glm::lookat matrix to quaternion and back

I am using glm to create a camera class, and I am running into some
problems with a lookat function. I am using a quaternion to represent
rotation, but I want to use glm's prewritten lookat function to avoid
duplicating code. This is my lookat function right now:
void Camera::LookAt(float x, float y, float z) {
glm::mat4 lookMat = glm::lookAt(position, glm::vec3(x, y, z),
glm::vec3(0, 1, 0));
rotation = glm::toQuat(lookMat);
}
However when I call LookAt(0.0f,0.0f,0.0f), my camera is not rotated to
that point. When I call glm::eulerangles(rotation) after the lookat call,
I get a vec3 with the following values: (180.0f, 0.0f, 180.0f). position
is (0.0f,0.0f,-10.0f), so I should not have any rotation at all to look at
0,0,0. This is the function which builds the view matrix:
glm::mat4 Camera::GetView() {
view = glm::toMat4(rotation) * glm::translate(glm::mat4(), position);
return view;
}
Why am I not getting the correct quaternion, and how can I fix my code?