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Popular >

simplify ln(3/4)+2ln(2)

Solution

simplify

ln (\frac{3}{4}) + 2 ln (2)

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (\frac{3}{4}) + 2 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{3}{4} \cdot 2^{2} = 3

= ln (3)

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Frequently Asked Questions (FAQ)

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