Italy l can you solve?? l Nice Olympiad Math Exponential Problem

[@hangthuy458]

8^a+a=200 8^2a=100×2 (2^3×2a=10^2×2 2^6a==10^2×2 log2^6a=log10^2+log2 6a=2×1/log2+log2/log2 a=(2/log2+1)/6 a=2/6log2+1/6 a=1/3log2+1/6

[@ronaldnoll3247]

Brilliant calculation... but it also works like this... with the approach 8^2a = 200; 2^6a = 200; A = (1/6)LOG(2) 200 A = 1.2740

[@stpat7614]

Shouldn't there also be five complex solutions?