Sunday, September 13, 2015

Solve x if ln(ln(x)) = 4

The logarithmic equation `ln(ln(x)) = 4` has to be solved
for x.


ln is used to denote natural logarithm which is
logarithm to the base e.


`ln(ln(x)) = 4` can be rewritten
as:


`log_e(log_ex) = 4`


If
`log_b a = c` , we can write `a = b^c`


This gives: `log_e x
= e^4`


Again doing the
same.


`x = e^(e^4)`


The root
of the equation `ln(ln(x)) = 4` is `x = e^(e^4)`

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