Simple Algebra problem - Solving for 2 of the same unknown

1. Dec 5, 2012

smaan

1. The problem statement, all variables and given/known data

ln(0.0693/0.0475) = (70435/8.314)((T3-298)/(T3*298))

Solve for T3

2. Relevant equations

3. The attempt at a solution

The fact that there are 2 T3's is really throwing me off, I feel that I am doing something algebraically wrong.

0.377 = 8471.9((T3-298)/(T3*298))

How would I solve for T3?

2. Dec 5, 2012

SammyS

Staff Emeritus
$\displaystyle \frac{T_3-298}{298T_3}=\frac{T_3}{298T_3}-\frac{298}{298T_3}$
$\displaystyle =\frac{1}{298}-\frac{1}{T_3}$​
Now there's only one T3 .

3. Dec 5, 2012

jey1234

Sometimes I find "getting rid" of the fraction helpful for seeing the solution. Basically multiply both sides by the denominator (of the RHS) and expand. Then you collect like terms and everything else is easy.