Answer
$(\log 2, \log 5)$ (Note: that answer is in set notation)
Work Step by Step
Given the inequality $ 2 < 10^x < 5$
Take the log of all terms
$\log 2 < \log (10^x) < \log 5$
Thus, $\log 2 < x < \log 5$
$(\log 2, \log 5)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.