What is (ln(2)+ln(3)) pi/8 ?

The solution to (ln(2)+ln(3)) pi/8 is ln(6) pi/8

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simplify (ln(2)+ln(3)) pi/8

simplify

(ln (2) + ln (3)) \frac{π}{8}

ln (6) \frac{π}{8}

Decimal Notation

0.70362 \dots

Solution steps

(ln (2) + ln (3)) \frac{π}{8}

Apply log rule:

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

ln (2) + ln (3) = ln (2 \cdot 3)

= \frac{π}{8} ln (2 \cdot 3)

Multiply the numbers:

2 \cdot 3 = 6

= ln (6) \frac{π}{8}

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