Question

Can someone give 2 examples of a logarithmic equation with infinite solutions?

Answer 1

Assuming what is meant by "infinite solutions" are infinite number of solutions of a logarithmic equation.  

$\frac{1}{2}\log x^2 - \log \sqrt{x} - \log \sqrt{x} = 0$

and

$\frac{1}{2}x-2\ln e^x=-\frac{3}{2}x$