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Popular >

simplify ln(2e^5)

Solution

simplify

ln (2 e^{5})

Solution

ln (2) + 5

+1

Decimal Notation

5.69314 \dots

Solution steps

ln (2 e^{5})

Apply log rule:

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

ln (2 e^{5}) = ln (2) + ln (e^{5})

= ln (2) + ln (e^{5})

Apply log rule:

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

ln (e^{5}) = 5 ln (e)

= ln (2) + 5 ln (e)

5 ln (e) = 5

= ln (2) + 5

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Frequently Asked Questions (FAQ)

What is ln(2e^5) ?
The solution to ln(2e^5) is ln(2)+5