"I just want to play games and I'm delighted to get the opportunity," Logan told BBC Radio Bristol.
Senda added: "I've had a difficult year and to get back into the game with a club like Rovers is fantastic."
The former Wycombe, Millwall and Torquay full back is aiming to get his career back on track after sustaining a serious knee injury in the final game of the 2007/08 season.
He started his career with Wycombe in 1999 and moved to to Millwall in 2006 where he made 76 league appearances.
We want to get really tight at the back and two different voices in defensive situations will help us out.
Dave Penney
Senda was out of the game for 16 months but signed for Torquay last September.
"Essentially he's a right back," said Rovers boss Dave Penney.
"We are letting too many crosses into our box and when they do come in we don't deal with them so if we can stop it at source that makes it a little bit easier for the centre halves.
"We want to get really tight at the back and two different voices in defensive situations will help us out.
"Danny is trying to earn a contract here or elsewhere and it gives a freshness to the squad."
Logan has previously had loan spells at Boston United, Stockport County and Luton Town.
"We have signed Conrad to really push Luke for the number one shirt," added Penney.
"We need to stop conceding goals and sometimes a change of personnel will do that."
Bristol Rovers are currently rooted to the bottom of League One having lost their last five games and conceding 19 goals in the process.
Source: BBC Sport
Source: BBC Sport