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Popular >

simplify ln(e^68)

Solution

simplify

ln (e^{6} 8)

Solution

6 + 3 ln (2)

+1

Decimal Notation

8.07944 \dots

Solution steps

ln (e^{6} \cdot 8)

Apply log rule:

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

ln (e^{6} \cdot 8) = ln (e^{6}) + ln (8)

= ln (e^{6}) + ln (8)

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= 6 ln (e) + ln (8)

6 ln (e) = 6

= 6 + ln (8)

ln (8) = 3 ln (2)

= 6 + 3 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(e^68) ?
The solution to ln(e^68) is 6+3ln(2)