Solve the equation for x logx 4 2 The solution set is Simpl

Solve the equation for x. log_x 4 = -2 The solution set is. (Simplify your answer. Type an integer or a fraction.)

Solution

logx(4) = -2

As per exponential property : loga(b) = c -----> b = a^c

So, logx(4) = -2

4 = x^-2

x^2 = 1/4

x = 1/2 , -1/2

Neglect -ve value as domain of logx is x>0

So, x= 1/2 (solution)