Let a * b = a + sqrt(b + sqrt(b + sqrt(b + ...))). If 7 * g = 19, find the value of g.
Not sure how the first part is relevant.
7 * g = 19
g = 19/7
=^._.^=
I think the first part is meant to define the operation *, so it would be:
\(7+\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 19\\ \sqrt{g+\sqrt{g+\sqrt{g+...}}}=12\\ \sqrt{g+12}=12\\ g+12=144\\ g=132\)