Uploaded May 2022 | Updated September 2026, 1 week ago
The Battle of the Logs. Which is bigger, log base 3 of 5 or log base 5 of 9? The answer may surprise you. We solve this equation by taking the difference, putting on a common denominator, writing it as a single base, and then comparing 3 to the square root of 2 with closer and closer fractions. This logarithmic inequality is applied math and analysis at its finest, and a treat for algebra 2 students and mathematics undergraduates, especially those who like problem solving and logarithmic and exponential equations.
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
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The Battle of the Logs. Which is bigger, log base 3 of 5 or log base 5 of 9? The answer may surprise you. We solve this equation by taking the difference, putting on a common denominator, writing it as a single base, and then comparing 3 to the square root of 2 with closer and closer fractions. This logarithmic inequality is applied math and analysis at its finest, and a treat for algebra 2 students and mathematics undergraduates, especially those who like problem solving and logarithmic and exponential equations.
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
