What is ln(6)+ln(sqrt((e^{(2.47519)))/3}) ?

The solution to ln(6)+ln(sqrt((e^{(2.47519)))/3}) is ln(11.94184…)

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simplify ln(6)+ln(sqrt((e^{(2.47519)))/3})

simplify

ln (6) + ln (\frac{e ^{(2.47519)}}{3})

ln (11.94184 \dots)

Decimal Notation

2.48004 \dots

Solution steps

ln (6) + ln (\frac{e ^{(2.47519)}}{3})

Apply log rule:

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

ln (6) + ln (\frac{e ^{(2.47519)}}{3}) = ln (6 \frac{e ^{2.47519}}{3})

= ln (6 \frac{e ^{2.47519}}{3})

6 \frac{e ^{(2.47519)}}{3} = 11.94184 \dots

= ln (11.94184 \dots)

9 ln (x) - ln ((\frac{y}{x})^{2} + 1 + \frac{y}{x})

2 lo g_{a} (x) - 3 lo g_{a} (y)

3 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

\frac{1}{3} (6 ln (x + 5) + ln (x) - ln (x^{2} - 6))

1.464 - lo g_{10} (\frac{1}{1 0 ^{0.3}})

What is ln(6)+ln(sqrt((e^{(2.47519)))/3}) ?
The solution to ln(6)+ln(sqrt((e^{(2.47519)))/3}) is ln(11.94184…)