2024 AIME I Problems/Problem 2
Revision as of 12:42, 2 February 2024 by Technodoggo (talk | contribs)
There exist real numbers and , both greater than 1, such that . Find .
Solution 1
By properties of logarithms, we can simplify the given equation to . Let us break this into two separate equations:
Also by properties of logarithms, we know that ; thus, . Therefore, our equation simplifies to:
~Technodoggo