A tricky Stanford Exam Question | Nice Exponents Math Simplification

[@BobGillah]

Excellent

[@hangthuy458]

15^a=15×3
log15^a=log15×3
a=log15/log15+log3/log15=1+log3/log15

[@AlexanderSemashkevich]

a=log45/log15=(log15+log3)/log15=1+log3/(log3+log5)
a≈1+0.477/(0.477+0.699)≈551/392≈1.4056
Deviation is about 0.0001
15^1.4056≈44.99

[@RealQinnMalloryu4]

15^(3) 3^5^(3) 1^2^3^(1) 2^3 (a ➖ 3a+2).

[@JamesKang95]

(a^m)/(a^n)=a^(m-n)
(15^a)/(15^1)=15^(a-1)