Question

If Logx (1 / 8) = - 3 / 2, then x is equal to

Answer 1

is that read is \[\huge \log_x \left(\frac 18 \right) = -\frac 32\]

Answer 2

is that the question?

Answer 3

\[\log_{x}8^{-1} =-3/2\]
\[-\log_{x}8=-3/2 \]

Answer 4

\[\log_{x}8=3/2\]
\[x^{3/2}=8\]

\[x^{3/2}=2^3\]
\[x^{1/2}=2\]
\[x=\sqrt{2}\]

Answer 5

u can see here
http://www.wolframalpha.com/input/?i=Logx+%281+%2F+8%29+%3D+-+3+%2F+2%2C+then+x+