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Popular >

simplify ln(1/32)

Solution

simplify

ln (\frac{1}{32})

Solution

- 5 ln (2)

+1

Decimal Notation

- 3.46573 \dots

Solution steps

ln (\frac{1}{32})

Apply log rule:

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

ln (\frac{1}{32}) = ln (1) - ln (32)

= ln (1) - ln (32)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (32)

0 - ln (32) = - ln (32)

= - ln (32)

Simplify

ln (32) : 5 ln (2)

= - 5 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(1/32) ?
The solution to ln(1/32) is -5ln(2)