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Popular >

simplify ln(2)+2ln(3)

Solution

simplify

ln (2) + 2 ln (3)

Solution

ln (18)

+1

Decimal Notation

2.89037 \dots

Solution steps

ln (2) + 2 ln (3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (3) = ln (3^{2})

= ln (2) + ln (3^{2})

Apply log rule:

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

ln (2) + ln (3^{2}) = ln (3^{2} \cdot 2)

= ln (3^{2} \cdot 2)

2 \cdot 3^{2} = 18

= ln (18)

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Frequently Asked Questions (FAQ)

What is ln(2)+2ln(3) ?
The solution to ln(2)+2ln(3) is ln(18)