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Popular >

simplify ln(8/(8+1))

Solution

simplify

ln (\frac{8}{8 + 1})

Solution

3 ln (2) - 2 ln (3)

+1

Decimal Notation

- 0.11778 \dots

Solution steps

ln (\frac{8}{8 + 1})

Apply log rule:

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

ln (\frac{8}{8 + 1}) = ln (8) - ln (8 + 1)

= ln (8) - ln (8 + 1)

Add the numbers:

8 + 1 = 9

= ln (8) - ln (9)

ln (8) = 3 ln (2)

ln (9) = 2 ln (3)

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

Popular Examples

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- lo g_{10} (8.5 \cdot 1 0^{- 1})

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Frequently Asked Questions (FAQ)

What is ln(8/(8+1)) ?
The solution to ln(8/(8+1)) is 3ln(2)-2ln(3)