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Popular >

simplify ln^5(((e^2))/5)

Solution

simplify

ln^{5} (\frac{( e ^{2} )}{5})

Solution

2 - ln^{5} (5)

+1

Decimal Notation

- 8.79869 \dots

Solution steps

ln^{5} (\frac{( e ^{2} )}{5})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln^{5} (\frac{( e ^{2} )}{5}) = ln^{5} ((e^{2})) - ln^{5} (5)

= ln^{5} (e^{2}) - ln^{5} (5)

Apply log rule:

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

ln^{5} (e^{2}) = 2 ln^{5} (e)

= 2 ln^{5} (e) - ln^{5} (5)

2 ln^{5} (e) = 2

= 2 - ln^{5} (5)

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Frequently Asked Questions (FAQ)

What is ln^5(((e^2))/5) ?
The solution to ln^5(((e^2))/5) is 2-ln^5(5)