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Popular >

simplify ln(4e^2)

Solution

simplify

ln (4 e^{2})

Solution

2 ln (2) + 2

+1

Decimal Notation

3.38629 \dots

Solution steps

ln (4 e^{2})

Apply log rule:

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

ln (4 e^{2}) = ln (4) + ln (e^{2})

= ln (4) + ln (e^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{2}) = 2 ln (e)

= ln (4) + 2 ln (e)

2 ln (e) = 2

= ln (4) + 2

ln (4) = 2 ln (2)

= 2 ln (2) + 2

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Frequently Asked Questions (FAQ)

What is ln(4e^2) ?
The solution to ln(4e^2) is 2ln(2)+2