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Popular >

simplify ln(9e^3)-ln(3e)

Solution

simplify

ln (9 e^{3}) - ln (3 e)

Solution

ln (3 e^{2})

+1

Decimal Notation

3.09861 \dots

Solution steps

ln (9 e^{3}) - ln (3 e)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (9 e^{3}) - ln (3 e) = ln (\frac{9 e ^{3}}{3 e})

= ln (\frac{9 e ^{3}}{3 e})

\frac{9 e ^{3}}{3 e} = 3 e^{2}

= ln (3 e^{2})

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Frequently Asked Questions (FAQ)

What is ln(9e^3)-ln(3e) ?
The solution to ln(9e^3)-ln(3e) is ln(3e^2)