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Popular >

simplify ln(9)+3ln(2)

Solution

simplify

ln (9) + 3 ln (2)

Solution

ln (72)

+1

Decimal Notation

4.27666 \dots

Solution steps

ln (9) + 3 ln (2)

Apply log rule:

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

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

= ln (9) + ln (2^{3})

Apply log rule:

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

ln (9) + ln (2^{3}) = ln (2^{3} \cdot 9)

= ln (2^{3} \cdot 9)

9 \cdot 2^{3} = 72

= ln (72)

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Frequently Asked Questions (FAQ)

What is ln(9)+3ln(2) ?
The solution to ln(9)+3ln(2) is ln(72)