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Popular >

simplify ln(9000e^9)

Solution

simplify

ln (9000 e^{9})

Solution

ln (9000) + 9

+1

Decimal Notation

18.10497 \dots

Solution steps

ln (9000 e^{9})

Apply log rule:

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

ln (9000 e^{9}) = ln (9000) + ln (e^{9})

= ln (9000) + ln (e^{9})

Apply log rule:

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

ln (e^{9}) = 9 ln (e)

= ln (9000) + 9 ln (e)

9 ln (e) = 9

= ln (9000) + 9

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Frequently Asked Questions (FAQ)

What is ln(9000e^9) ?
The solution to ln(9000e^9) is ln(9000)+9