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Popular >

simplify ln(3)+4ln(2)

Solution

simplify

ln (3) + 4 ln (2)

Solution

ln (48)

+1

Decimal Notation

3.87120 \dots

Solution steps

ln (3) + 4 ln (2)

Apply log rule:

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

4 ln (2) = ln (2^{4})

= ln (3) + ln (2^{4})

Apply log rule:

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

ln (3) + ln (2^{4}) = ln (2^{4} \cdot 3)

= ln (2^{4} \cdot 3)

3 \cdot 2^{4} = 48

= ln (48)

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Frequently Asked Questions (FAQ)

What is ln(3)+4ln(2) ?
The solution to ln(3)+4ln(2) is ln(48)