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Popular >

simplify ln(ln(e^{e^4}))

Solution

simplify

ln (ln (e^{e^{4}}))

Solution

4

Solution steps

ln (ln (e^{e^{4}}))

Simplify

ln (e^{e^{4}}) : e^{4}

= ln (e^{4})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= 4 ln (e)

Apply log rule:

lo g_{a} (a) = 1

= 4

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Frequently Asked Questions (FAQ)

What is ln(ln(e^{e^4})) ?
The solution to ln(ln(e^{e^4})) is 4