What is 1/2 (ln(6)+ln(2)) ?

The solution to 1/2 (ln(6)+ln(2)) is 1/2 ln(12)

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simplify 1/2 (ln(6)+ln(2))

simplify

\frac{1}{2} (ln (6) + ln (2))

\frac{1}{2} ln (12)

Decimal Notation

1.24245 \dots

Solution steps

\frac{1}{2} (ln (6) + ln (2))

Apply log rule:

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

ln (6) + ln (2) = ln (6 \cdot 2)

= \frac{1}{2} ln (6 \cdot 2)

Multiply the numbers:

6 \cdot 2 = 12

= \frac{1}{2} ln (12)

lo g_{e} (\frac{( 4300 )}{3})

ln (\frac{190 ( 200 - 190 )}{3600})

10.64 + lo g_{10} (\frac{0.1}{0.175})

- \frac{ln ( 50 ) + 41 ln ( 7 )}{8 ln ( 7 )}