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Popular >

simplify (1*5)ln(5/1)

Solution

simplify

(1 \cdot 5) ln (\frac{5}{1})

Solution

5 ln (5)

+1

Decimal Notation

8.04718 \dots

Solution steps

(1 \cdot 5) ln (\frac{5}{1})

Apply log rule:

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

ln (\frac{5}{1}) = ln (5) - ln (1)

= 1 \cdot 5 (ln (5) - ln (1))

Apply log rule:

lo g_{a} (1) = 0

= 1 \cdot 5 (ln (5) - 0)

ln (5) - 0 = ln (5)

= 1 \cdot 5 ln (5)

Multiply the numbers:

1 \cdot 5 = 5

= 5 ln (5)

Popular Examples

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- lo g_{10} (3.56 \cdot 1 0^{- 3})

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- lo g_{10} (8.3 \cdot 1 0^{- 7})

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\frac{ln ( 2 ) - ln ( 3 )}{5}

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ln (9) + 3 ln (2)

Frequently Asked Questions (FAQ)

What is (1*5)ln(5/1) ?
The solution to (1*5)ln(5/1) is 5ln(5)