The losses come on the back of a 4-0 series loss in India earlier this year, leaving Australia winless in six successive Tests -- their worst run of results since a similarly dire streak against a powerful West Indies side back in 1984.
Five games into that run, a tearful Kim Hughes resigned as Australia captain.
But Clarke said he had no intention of following suit -- or calling time on his Test career any time soon.
"I'm like every other player -- you get frustrated that you don't make as many runs as you would like and get frustrated that the team's not having success but that only makes the challenge more exciting I guess.
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"I want to help this team have success. I want to make sure I'm leading the way and scoring runs and I'm 32 and not 36, so luckily I've got a few years before I have that discussion."
Clarke, who has had to deal with a longstanding back complaint throughout his career, added: "I'm not ready to walk away from cricket.
"As a captain you probably take it more personally when the team doesn't have as much success as you would like, which probably just makes me work harder."
Not since an Australia side inspired by batting great Don Bradman has any team come from 2-0 down to win a five-match Ashes series.
Australia suffered a 347-run thrashing in the second Test at Lord's but Clarke believed that all was not lost.