Question 167773
2^(3x-1)=7^(x-q) 

Use the property ln a^b=b ln a

Take ln on both sides,
ln 2^(3x-1)=ln 7^(x-q) 
(3x-1)ln2=(x-q)ln7
3xln2-ln2=xln7-qln7
3x ln2-x ln7=ln2 -q ln7
» x(3ln2-ln7)=ln2-qln7
» x= (ln2-qln7)/(3ln2-ln7)