Algebra Exponential Problem ✍️ What is the Value of a in this Math Problem ✍️

Algebra Exponential Problem ✍️ What is the Value of a in this Math Problem ✍️

[@tombufford136]

At a quick glance I start this by writing the equation 2^a + 2^2a = 2 ^3a. I see this already in the comments below.

[@joseeoliviero6078]

I appreciate your math skills however over 80-90% of the privileges are identical. Every problem has one number that is the square of the other leading to a simple quadratic equation😮.😮😮

[@ChavoMysterio]

2ⁿ+4ⁿ=8ⁿ 2ⁿ+(2ⁿ)²=(2ⁿ)³ Let ∆=2ⁿ ∆+∆²=∆³ ∆³-∆²-∆=0 ∆(∆²-∆-1)=0 ∆=0 2ⁿ=0 reject ∆²-∆-1=0 4∆²-4∆-4=0 4∆²-4∆+1=5 (2∆-1)²=5 |2∆-1|=√5 2∆-1=-√5 2∆=1-√5 ∆=½(1-√5) 2ⁿ=½(1-√5)