Brazil l can you solve this?? l Olympiad Math Exponential Problem l find a!

[@robertovaladao3136]

Excellent!

[@CharlesChen-el4ot]

Let y = 2^a^1/2
y 3 - y = 60
y *(y-1)*(y+1)=60
=3*4*5
y = 4
4 = 2^a^1/2=2^2
a ^1/2= 2
(a ^1/2)^2=2^2
a = 4