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Popular >

simplify-ln(5/4)+4

Solution

simplify

- ln (\frac{5}{4}) + 4

Solution

- ln (5) + 2 ln (2) + 4

+1

Decimal Notation

3.77685 \dots

Solution steps

- ln (\frac{5}{4}) + 4

Apply log rule:

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

ln (\frac{5}{4}) = ln (5) - ln (4)

= - (ln (5) - ln (4)) + 4

ln (4) = 2 ln (2)

= - (ln (5) - 2 ln (2)) + 4

- (ln (5) - 2 ln (2)) : - ln (5) + 2 ln (2)

= - ln (5) + 2 ln (2) + 4

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Frequently Asked Questions (FAQ)

What is simplify-ln(5/4)+4 ?
The solution to simplify-ln(5/4)+4 is -ln(5)+2ln(2)+4