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Popular >

simplify ln(4sqrt(e)4)

Solution

simplify

ln (4 e 4)

Solution

4 ln (2) + \frac{1}{2}

+1

Solution steps

ln (4 e \cdot 4)

Apply log rule:

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

ln (4 e \cdot 4) = ln (4) + ln (e) + ln (4)

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

Simplify

ln (4) + ln (e) + ln (4) : 2 ln (4) + ln (e)

ln (e) = \frac{1}{2}

= 2 ln (4) + \frac{1}{2}

2 ln (4) = 4 ln (2)

= 4 ln (2) + \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is ln(4sqrt(e)4) ?
The solution to ln(4sqrt(e)4) is 4ln(2)+1/2