# Having trouble plotting $y=\ln\left(T^{3/2}\right)$ and $y=\dfrac{1}{k_B T}$ on the same graph

Originally, I simply wanted a way to plot $$\ln(T^{3/2})$$ versus $$\dfrac{1}{k_B T}$$

In[20]:=Plot[ln[T^{3/2}], 1/{1.38 10^{-23} T} {T, 0, 10}, PlotLabels -> "Expressions"] Thread::tdlen: Objects of unequal length in {{7.24638*10^22/T}} {T,0,10} cannot be combined. Plot::pllim: Range specification {T,0,10}/{1.38 10^{-23} T} is not of the form {x, xmin, xmax}. 
So, I’m trying to plot a graph of $$y=\ln(T^{3/2})$$ and $$y=\frac{1}{k_B T}$$, where $$k_B\approx 1.38 \times 10^{-23}$$ and is the Boltzmann constant. $$T$$ is the thermodynamic (absolute) temperature.
In[17]:= Plot[y = ln (T^{3/2}), y = frac {1} {1.38  10^{-23}  T}, {T, 0.0001, 1000}, {y, 0, 100000}  PlotLabels -> "Expressions"] Plot::nonopt: Options expected (instead of {y,0,100000} PlotLabels->Expressions)  beyond position 2 in Plot[y=ln T^{3/2},y=frac {1} {1.38 10^{-23} T}, {T,0.0001,1000},{y,0,100000} PlotLabels->Expressions].  An option must be a rule or a list of rules. Out[17]=Plot[y = ln \!$$\*SuperscriptBox[\(T$$, $${\*FractionBox[\(3$$, $$2$$]}\)]\),  y = frac {1} {1.38 \!$$\*SuperscriptBox[\(10$$, $${\(-23$$}\)]\) T}, {T, 0.0001,    1000}, {y, 0, 100000} PlotLabels -> "Expressions"] 
I’m really stuck and don’t know what to do, I would prefer if the first method (by not letting $$y=…$$) would work but since it didn’t I tried the second way and that didn’t either.