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Popular >

simplify 5*ln(8/2)

Solution

simplify

5 \cdot ln (\frac{8}{2})

Solution

10 ln (2)

+1

Decimal Notation

6.93147 \dots

Solution steps

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

Apply log rule:

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

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

= 5 (ln (8) - ln (2))

ln (8) = 3 ln (2)

= 5 (3 ln (2) - ln (2))

Add similar elements:

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

= 5 \cdot 2 ln (2)

Multiply the numbers:

5 \cdot 2 = 10

= 10 ln (2)

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Frequently Asked Questions (FAQ)

What is 5*ln(8/2) ?
The solution to 5*ln(8/2) is 10ln(2)