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Popular >

simplify ln(1/(e^6))

Solution

simplify

ln (\frac{1}{e ^{6}})

Solution

- 6

Solution steps

ln (\frac{1}{e ^{6}})

Apply log rule:

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

= - ln (e^{6})

Apply log rule

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

assuming

x \geq 0

= - 6 ln (e)

Apply log rule:

lo g_{a} (a) = 1

= - 6

Popular Examples

a(4)=-1/16 (2)^{4-1}

a (4) = - \frac{1}{16} (2)^{4 - 1}

x^{2} (x^{2} - 4) \geq 0

factor 16x^3y^2-8x^2y-24x^4y^2-40x^2y^3 factor

16 x^{3} y^{2} - 8 x^{2} y - 24 x^{4} y^{2} - 40 x^{2} y^{3}

x - 6 = 8

simplify 6*6*6*6*6 simplify

6 \cdot 6 \cdot 6 \cdot 6 \cdot 6

Frequently Asked Questions (FAQ)

What is ln(1/(e^6)) ?
The solution to ln(1/(e^6)) is -6