+0  
 
0
36
1
avatar

Let x and y be two positive real numbers such that: log_x  y+log_y  x = 3

 

Find the value of: log_x  y^2 + log_y  x^2

 Feb 22, 2019
 #1
avatar+4449 
0

\(\log_x(y^2) + \log_y(x^2) = \\ 2 \log_x(y) + 2\log_y(x) = \\ 2( \log_x(y) + \log_y(x) ) = \\ 2 \cdot 3 = 6\)

.
 Feb 22, 2019

10 Online Users

avatar
avatar