Answer:
I only solved the first equation
a) x = 30
Step-by-step explanation:
a) [tex]log_4(2log_3(1+log_2(1+3log(x/3)))) = 1/2\\4^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\(2^{2})^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\\\2 = 2log_3(1+log_2(1+3log(x/3)))\\\\\\1 = log_3(1+log_2(1+3log(x/3)))\\\\\\\\3^1 = 1+log_2(1+3log(x/3))\\3 -1 = log_2(1+3log(x/3))\\\\2 = log_2(1+3log(x/3))\\\\\\2^2 = 1+3log(x/3)\\4 -1 = 3log(x/3)\\\\3 = 3log(x/3)\\\\\\1 = log(x/3)\\10^1 = x/3\\x = 30[/tex]
