Before England head down under they have a five match limited overs series against Windies and a one-off T20 next Saturday (September 16).
England will arrive in Perth in seven weeks' time with confidence after following up their 3-1 victory against South Africa earlier this summer, in what was Root's first series as Test captain, with another here against a spirited West Indies.
England can be especially reassured by 35-year-old Anderson's response after he was left out of the final match in India last winter.
Tom Westley (44) and Mark Stoneman (40) put on an unbeaten 72 together after Alastair Cook was trapped lbw by Devendra Bishoo for 17, both men avoiding the kind of slip-up that could have put paid to their hopes of making the Ashes tour later this year.
'I think it's going to be very exciting, they're pretty evenly matched, ' Warne told Sky Sports.
England recorded series wins over South Africa and most recently West Indies despite struggling to find consistent top-order runs.
"In the second innings Jimmy (Anderson) was outstanding - he mastered it".
During 14 overs sent down by England's senior pair, West Indies managed 19 for the loss of two wickets, their plan to try and get through the early stages intact derailed inside the first over of the day.
Anderson's return just surpassed his seven for 43 against New Zealand at Trent Bridge in 2008.
"I didn't think I'd play anywhere near as much for England", added the Lancashire swing bowler.
James Anderson's 500th Test wicket provided the long-anticipated landmark moment Lord's craved as England held the advantage in a tense, low-scoring match against West Indies.
Shai Hope, the hero of West Indies' Headingley victory, made a belligerent 62, but the game appeared to be up for the tourists when he was removed by Anderson.
James Anderson finished the third Test against West Indies with nine wickets. - Test Match Special's feed spreads the revelations of how Mrs May's Chocolate Brownies never made it to their intended destination on her previous visit to the cricket.
Batting continued to be a survivalist pursuit - at least until England completed a low-pressure chase - despite more leisurely conditions on a Saturday when the sunshine was only intermittently broken by scudding clouds.
Bowling from the Nursery End, where the eight-foot slope across the ground naturally takes the ball away from a right-handed batsman's off stump, Anderson found Roston Chase's edge and wicket-keeper Jonny Bairstow held a simple catch. The home side resumed the day at 46 for four, trailing West Indies 77 runs.
Jermaine Blackwood, dropped on two and reprieved from lbw on four, fell for five when caught behind off Anderson.
"It's a tough place to play cricket, it's good to get some runs under my belt", said Hope.
Shai Hope, the Windies' best batsman, also nicked off and then Cook at second slip dropped Jason Holder off Root from the final ball before lunch. "But I'm extremely proud, and can't fault the guys for their effort".
"There are two or three positions that will probably take more time than the others to decide on, but I'm sure it will come from that group".
Manson Family Killer One Step Closer to Freedom
Later, she stabbed Rosemary La Bianca over a dozen times in addition to holding a pillowcase over her head as others stabbed her. If the decision stands, the matter will be sent to office of the Governor who will have 30 days to take one of five options.
Country legend Don Williams dead at 78
A rep confirmed the death, which comes two years after the 78-year-old Country Hall Of Famer officially retired from music. Williams also appeared in the movies "W.W. and the Dixie Dancekings" and " Smokey and the Bandit II ".
Casualties reported after explosion at US base in Afghanistan
In particular, improved economic ties to China and increased diplomatic and military exchanges with Moscow could favor Pakistan. In the first 12 years since Washington led an invasion of the country, the USA military bombed at least eight wedding parties.
OR rides explosive first half to 42-35 win over Nebraska
Amadi's clinching interception came after linebacker Jonah Moi tipped the pass that turned out to be Lee's fourth interception. Nebraska then scored on each of it's first two 3rd quarter drives with touchdown passes from Tanner Lee to Stanley Morgan Jr .
Syrian army secures key Islamic State oil field
The Russian military named Abu Mohammad al-Shimali and Gulmurod Khalimov as two of the four Daesh leaders killed in the airstrike. Government forces are trying to get to the nearest air base, still surrounded by the militants.