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Popular >

simplify ln(ln(e^{e^3}))

Solution

simplify

ln (ln (e^{e^{3}}))

Solution

3

Solution steps

ln (ln (e^{e^{3}}))

Simplify

ln (e^{e^{3}}) : e^{3}

= ln (e^{3})

Apply log rule

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

assuming

x \geq 0

= 3 ln (e)

Apply log rule:

lo g_{a} (a) = 1

= 3

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Frequently Asked Questions (FAQ)

What is ln(ln(e^{e^3})) ?
The solution to ln(ln(e^{e^3})) is 3