USA OLYMPIAD EXPONENTIAL: Check the Trick

[@RyanLewis-Johnson-wq6xs]

x=Log[2,(3±3Sqrt[3]i)/2]

[@RyanLewis-Johnson-wq6xs]

2^(Log[8,1.6875]+1 3/9+(Log[8,.0625e^π]+1 3/9)i)*2^(Log[8,1.6875]+1 3/9+(Log[8,.0625e^π]+1 3/9)i)*2^(Log[8,1.6875]+1 3/9+(Log[8,.0625e^π]+1 3/9)i)=-27
x=Log[8,-27]=Log[8,1.6875]+1 3/9+(Log[8,.0625e^π]+1 3/9)i

[@Alamaths]

Thanks for the comments ❤