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Popular >

simplify ln(1/(3^2))

Solution

simplify

ln (\frac{1}{3 ^{2}})

Solution

- 2 ln (3)

+1

Decimal Notation

- 2.19722 \dots

Solution steps

ln (\frac{1}{3 ^{2}})

Apply log rule:

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

ln (\frac{1}{3 ^{2}}) = ln (1) - ln (3^{2})

= ln (1) - ln (3^{2})

Apply log rule:

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

ln (3^{2}) = 2 ln (3)

= ln (1) - 2 ln (3)

Apply log rule:

lo g_{a} (1) = 0

= 0 - 2 ln (3)

0 - 2 ln (3) = - 2 ln (3)

= - 2 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(1/(3^2)) ?
The solution to ln(1/(3^2)) is -2ln(3)