<h3>
Answer: g = 2</h3>
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Work Shown:
After subtracting 7 from both sides.
Note how because we have an infinite sequence of nested radicals, we can let which means x is equal to 2 as well.
This lets us say
Solve the equation for x to get
Since x is positive, this means we only focus on the first equation in the last line above.
Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.
As a check, we can do the following
we're slowly approaching 9