Question

Calcule
$log_{ \frac{1}{5} } 5 \sqrt{5}=$

Answer 1

Calculex

(1/5)^x = 5V5
 

(5^-1)^x = 5.5^1/2

5^-x = 5^(1+1/2)

-x = 1+1
            2
-2x = 2+1

-2x = 3(-1)

2x = - 3

x = - 3/2