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Popular >

simplify ln(1/(e^{11)})

Solution

simplify

ln (\frac{1}{e ^{11}})

Solution

- 11

Solution steps

ln (\frac{1}{e ^{11}})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (e^{11})

Apply log rule

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

assuming

x \geq 0

= - 11 ln (e)

Apply log rule:

lo g_{a} (a) = 1

= - 11

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Frequently Asked Questions (FAQ)

What is ln(1/(e^{11)}) ?
The solution to ln(1/(e^{11)}) is -11