What is ln(6)+ln(sqrt((e^{(1.86367)))/3}) ?

The solution to ln(6)+ln(sqrt((e^{(1.86367)))/3}) is ln(8.79592…)

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simplify ln(6)+ln(sqrt((e^{(1.86367)))/3})

simplify

ln (6) + ln (\frac{e ^{(1.86367)}}{3})

ln (8.79592 \dots)

Decimal Notation

2.17428 \dots

Solution steps

ln (6) + ln (\frac{e ^{(1.86367)}}{3})

Apply log rule:

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

ln (6) + ln (\frac{e ^{(1.86367)}}{3}) = ln (6 \frac{e ^{1.86367}}{3})

= ln (6 \frac{e ^{1.86367}}{3})

6 \frac{e ^{(1.86367)}}{3} = 8.79592 \dots

= ln (8.79592 \dots)

- lo g_{10} (1.44544 \cdot 1 0^{- 11})

9.3098 + lo g_{10} (\frac{0.04543}{0.00598})

ln (a e^{b x + c})

\frac{1}{2} lo g_{a} (x) - 2 lo g_{a} (y)

What is ln(6)+ln(sqrt((e^{(1.86367)))/3}) ?
The solution to ln(6)+ln(sqrt((e^{(1.86367)))/3}) is ln(8.79592…)