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Popular >

simplify ln(1/16)

Solution

simplify

ln (\frac{1}{16})

Solution

- 4 ln (2)

+1

Decimal Notation

- 2.77258 \dots

Solution steps

ln (\frac{1}{16})

Apply log rule:

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

ln (\frac{1}{16}) = ln (1) - ln (16)

= ln (1) - ln (16)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (16)

0 - ln (16) = - ln (16)

= - ln (16)

Simplify

ln (16) : 4 ln (2)

= - 4 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(1/16) ?
The solution to ln(1/16) is -4ln(2)