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Popular >

simplify ln((e^4)/5)

Solution

simplify

ln (\frac{e ^{4}}{5})

Solution

4 - ln (5)

+1

Decimal Notation

2.39056 \dots

Solution steps

ln (\frac{e ^{4}}{5})

Apply log rule:

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

ln (\frac{e ^{4}}{5}) = ln (e^{4}) - ln (5)

= ln (e^{4}) - ln (5)

Apply log rule:

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

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

= 4 ln (e) - ln (5)

4 ln (e) = 4

= 4 - ln (5)

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Frequently Asked Questions (FAQ)

What is ln((e^4)/5) ?
The solution to ln((e^4)/5) is 4-ln(5)