Find the maximum value of $3^x+5^x-9^x+15^x-25^x$ for all $x \in \mathbb{R}$
Source: KVPY SX 2012
I substituted $3^x=p$ and $5^x=q$ and got $p+q-p^2+pq-q^2$ from which I'm not able to proceed further
2026-04-22 16:18:37.1776874717
Maximum value of $3^x+5^x-9^x+15^x-25^x$
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