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Popular >

simplify ln(2.1*e^4)

Solution

simplify

ln (2.1 \cdot e^{4})

Solution

ln (2.1) + 4

+1

Decimal Notation

4.74193 \dots

Solution steps

ln (2.1 e^{4})

Apply log rule:

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

ln (2.1 e^{4}) = ln (2.1) + ln (e^{4})

= ln (2.1) + ln (e^{4})

Apply log rule:

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

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

= ln (2.1) + 4 ln (e)

4 ln (e) = 4

= ln (2.1) + 4

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Frequently Asked Questions (FAQ)

What is ln(2.1*e^4) ?
The solution to ln(2.1*e^4) is ln(2.1)+4