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Popular >

simplify 3ln(1/2)+ln(16)

Solution

simplify

3 ln (\frac{1}{2}) + ln (16)

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

3 ln (\frac{1}{2}) + ln (16)

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{2}) = ln (1) - ln (2)

= 3 (ln (1) - ln (2)) + ln (16)

3 (ln (1) - ln (2)) = - 3 ln (2)

= - 3 ln (2) + ln (16)

ln (16) = 4 ln (2)

= - 3 ln (2) + 4 ln (2)

Add similar elements:

- 3 ln (2) + 4 ln (2) = ln (2)

= ln (2)

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Frequently Asked Questions (FAQ)

What is 3ln(1/2)+ln(16) ?
The solution to 3ln(1/2)+ln(16) is ln(2)