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## Homework Statement

trying to work out the answer for the temperature T from the equation...

(10

^{12})

^{2}=(2.8*10

^{19})(1.04*10

^{19})(T/300)

^{3}exp(-1.12/KT)

## Homework Equations

the equation was derived from n

_{i}

^{2}=N

_{c}N

_{v}(T/300)

^{3}exp(-E

_{g}/KT)

## The Attempt at a Solution

Only simplified the equation to [tex]\frac{10^{24}}{2.912*10^{38}}[/tex]=[tex]\left(\frac{T}{300}\right)[/tex]3 . exp[tex]\left(\frac{-1.12}{KT}\right)[/tex]

can someone advice how to simplify this equation to solve for T?

Tried shifting (T/300)^3 over to the left side and then taking ln on both sides but could not solve the equation as I still ended up having trouble with grouping the T terms due to ln ...

Attached attempted solution.