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Popular >

simplify ln(e^3*(e^2-1))

Solution

simplify

ln (e^{3} \cdot (e^{2} - 1))

Solution

3 + ln (e^{2} - 1)

+1

Decimal Notation

4.85458 \dots

Solution steps

ln (e^{3} (e^{2} - 1))

Apply log rule:

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

ln (e^{3} (e^{2} - 1)) = ln (e^{3}) + ln (e^{2} - 1)

= ln (e^{3}) + ln (e^{2} - 1)

Apply log rule:

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

ln (e^{3}) = 3 ln (e)

= 3 ln (e) + ln (e^{2} - 1)

3 ln (e) = 3

= 3 + ln (e^{2} - 1)

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Frequently Asked Questions (FAQ)

What is ln(e^3*(e^2-1)) ?
The solution to ln(e^3*(e^2-1)) is 3+ln(e^2-1)