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

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jude69 | Student, Undergraduate | (Level 1) Honors

Posted February 15, 2011 at 11:12 AM via web

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

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted February 15, 2011 at 11:15 AM (Answer #1)

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Given the equation:

ln (lnx) = 4

We need to solve for s.

First we will rewrite in the logarithm form.

==> ln(x) = e^4

Now we will rewrite into the exponent form.

==> x = e^(e^4)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 15, 2011 at 11:52 AM (Answer #2)

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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 both the sides again

=> x = e^ ( e^4)

The required value of x is e^(e^4).

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