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Popular >

simplify ln(4e^1)

Solution

simplify

ln (4 e^{1})

Solution

2 ln (2) + 1

+1

Decimal Notation

2.38629 \dots

Solution steps

ln (4 e^{1})

Apply log rule:

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

ln (4 e^{1}) = ln (4) + ln (e^{1})

= ln (4) + ln (e^{1})

Apply log rule:

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

ln (e^{1}) = 1 \cdot ln (e)

= ln (4) + 1 \cdot ln (e)

1 \cdot ln (e) = 1

= ln (4) + 1

ln (4) = 2 ln (2)

= 2 ln (2) + 1

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Frequently Asked Questions (FAQ)

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