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Popular >

simplify ln((e^4)/(14))

Solution

simplify

ln (\frac{e ^{4}}{14})

Solution

4 - ln (14)

+1

Decimal Notation

1.36094 \dots

Solution steps

ln (\frac{e ^{4}}{14})

Apply log rule:

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

ln (\frac{e ^{4}}{14}) = ln (e^{4}) - ln (14)

= ln (e^{4}) - ln (14)

Apply log rule:

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

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

= 4 ln (e) - ln (14)

4 ln (e) = 4

= 4 - ln (14)

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Frequently Asked Questions (FAQ)

What is ln((e^4)/(14)) ?
The solution to ln((e^4)/(14)) is 4-ln(14)