the equations in question are log_{4}(x+1)-log_{4}3=1 and 4(7^{x})-7^{2x}=3
not sure what method to use to approach these.
thanks
age
In the first problem Plato used the fact that $\displaystyle log a- log b= log(a/b)$ and that $\displaystyle log_b(b)= 1$.
For the second, he substituted y for $\displaystyle 7^x$, as he said, and used the fact that $\displaystyle 7^{2x}= (7^x)^2= y^2$.