What is ln(2)+ln(3)+ln(5) ?

The solution to ln(2)+ln(3)+ln(5) is ln(30)

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simplify ln(2)+ln(3)+ln(5)

simplify

ln (2) + ln (3) + ln (5)

ln (30)

Decimal Notation

3.40119 \dots

Solution steps

ln (2) + ln (3) + ln (5)

Apply log rule:

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

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

= ln (2 \cdot 3) + ln (5)

Multiply the numbers:

2 \cdot 3 = 6

= ln (6) + ln (5)

Apply log rule:

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

ln (6) + ln (5) = ln (6 \cdot 5)

= ln (6 \cdot 5)

Multiply the numbers:

6 \cdot 5 = 30

= ln (30)

ln (7 x^{2} - 5) - ln (x^{2})

\frac{1}{2} ln (\frac{386}{530})

3 ln (3) - 6 ln (2)

120 + 10 lo g_{10} (\frac{1}{4 \cdot 3.14 \cdot 100}) + 10

lo g_{10} (5 x) + lo g_{7} (x)