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Popular >

simplify 2(ln(7)-3ln(2))

Solution

simplify

2 (ln (7) - 3 ln (2))

Solution

2 ln (\frac{7}{8})

+1

Decimal Notation

- 0.26706 \dots

Solution steps

2 (ln (7) - 3 ln (2))

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= 2 (ln (7) - ln (2^{3}))

Apply log rule:

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

ln (7) - ln (2^{3}) = ln (\frac{7}{2 ^{3}})

= 2 ln (\frac{7}{2 ^{3}})

2^{3} = 8

= 2 ln (\frac{7}{8})

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Frequently Asked Questions (FAQ)

What is 2(ln(7)-3ln(2)) ?
The solution to 2(ln(7)-3ln(2)) is 2ln(7/8)