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Popular >

simplify ln((x+2)/(e^x))

Solution

simplify

ln (\frac{x + 2}{e ^{x}})

Solution

ln (x + 2) - x

Solution steps

ln (\frac{x + 2}{e ^{x}})

Apply log rule:

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

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

= ln (x + 2) - ln (e^{x})

Apply log rule:

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

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

= ln (x + 2) - x ln (e)

x ln (e) = x

= ln (x + 2) - x

Popular Examples

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ln (\frac{0.09175}{0.05722})

join 31/6 ln(3)join

\frac{31}{6} ln (3)

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ln (\frac{90}{20})

Frequently Asked Questions (FAQ)

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