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Popular >

simplify ln(eln(eln(ex)))

Solution

simplify

ln (e ln (e ln (e x)))

Solution

1 + ln (ln (e ln (e x)))

Solution steps

ln (e ln (e ln (e x)))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (e ln (e ln (e x))) = ln (e) + ln (ln (e ln (e x)))

= ln (e) + ln (ln (e ln (e x)))

Apply log rule:

lo g_{a} (a) = 1

= 1 + ln (ln (e ln (e x)))

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Frequently Asked Questions (FAQ)

What is ln(eln(eln(ex))) ?
The solution to ln(eln(eln(ex))) is 1+ln(ln(eln(ex)))