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Popular >

simplify ln(3e^3)+ln(2/(3e^2))

Solution

simplify

ln (3 e^{3}) + ln (\frac{2}{3 e ^{2}})

Solution

ln (2 e)

+1

Decimal Notation

1.69314 \dots

Solution steps

ln (3 e^{3}) + ln (\frac{2}{3 e ^{2}})

Apply log rule:

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

ln (3 e^{3}) + ln (\frac{2}{3 e ^{2}}) = ln (3 e^{3} \frac{2}{3 e ^{2}})

= ln (3 e^{3} \frac{2}{3 e ^{2}})

3 e^{3} \frac{2}{3 e ^{2}} = 2 e

= ln (2 e)

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Frequently Asked Questions (FAQ)

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