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Popular >

simplify-ln(4e)

Solution

simplify

- ln (4 e)

Solution

- 2 ln (2) - 1

+1

Decimal Notation

- 2.38629 \dots

Solution steps

- ln (4 e)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (4 e) = ln (4) + ln (e)

= - (ln (4) + ln (e))

Apply log rule:

lo g_{a} (a) = 1

= - (ln (4) + 1)

ln (4) = 2 ln (2)

= - (2 ln (2) + 1)

Distribute parentheses

= - (2 ln (2)) - (1)

Apply minus-plus rules

+ (- a) = - a

= - 2 ln (2) - 1

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lo g_{10} ((\frac{x}{100})^{4})

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- lo g_{10} (4.7 \cdot 1 0^{- 4})

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Frequently Asked Questions (FAQ)

What is simplify-ln(4e) ?
The solution to simplify-ln(4e) is -2ln(2)-1