The expression (log_0.5² 8)^1/2 has the value equal to ______.

Hello student,
Please find the answer to your question below
given (log_0.5² 8)^1/2=1/4 log_0.5 8 from log property (log_aⁿx)^m=m/n(log_a x)
also 1/4(log_0.58)= 1/4((log₁₀ 8)/log₁₀ 0.5)=1/4((log 2³)/log 2^-1)=-3/4

Approved