Question 185276
    log(sqrt(x),27)=-6
I'm assuming you mean (on the left), log base sqrt(x) of 27
.
    log(27)/log(sqrt(x)) = -6
    log(27) = -6*log(sqrt(x))
    -log(27)/6 = log(sqrt(x))
    -0.2386 = log(sqrt(x))
    10^(-0.2386) = sqrt(x)
    10^(-0.2386) = sqrt(x)
    0.5774 = sqrt(x)
    0.3333 = x 
or
    1/3 = x