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Popular >

simplify 15ln(2/8)

Solution

simplify

15 ln (\frac{2}{8})

Solution

- 30 ln (2)

+1

Decimal Notation

- 20.79441 \dots

Solution steps

15 ln (\frac{2}{8})

Apply log rule:

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

ln (\frac{2}{8}) = ln (2) - ln (8)

= 15 (ln (2) - ln (8))

ln (8) = 3 ln (2)

= 15 (ln (2) - 3 ln (2))

Add similar elements:

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

= 15 (- 2 ln (2))

Remove parentheses:

(- a) = - a

= - 15 \cdot 2 ln (2)

Multiply the numbers:

15 \cdot 2 = 30

= - 30 ln (2)

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Frequently Asked Questions (FAQ)

What is 15ln(2/8) ?
The solution to 15ln(2/8) is -30ln(2)