+0  
 
0
62
2
avatar+24 

Find all t such that 3^{27^t}=27^{3^t}

 Oct 21, 2021
 #1
avatar
-1

3^(27t) = 27^(3t)

==> 3^(27t) = 3^(3t + 3)

==> 27t = 3t + 3

==> t = 3/24 = 1/8

 Oct 22, 2021
 #2
avatar
0

 3^{27^t}=27^{3^t}, solve for t

 

t == 1/2

 Oct 22, 2021

4 Online Users