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Popular >

simplify ln(3)+3ln(4)

Solution

simplify

ln (3) + 3 ln (4)

Solution

ln (192)

+1

Decimal Notation

5.25749 \dots

Solution steps

ln (3) + 3 ln (4)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

3 \cdot 4^{3} = 192

= ln (192)

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Frequently Asked Questions (FAQ)

What is ln(3)+3ln(4) ?
The solution to ln(3)+3ln(4) is ln(192)