Solve x if ln(ln(x)) = 4
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justaguide
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We have ln (ln (x)) = 4
ln x has a base of e.
Taking the antilog of both the sides
=> ln (x ) = e^ 4
Taking the antilog of...
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tonys538 | Student
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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