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Popular >

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

Solution

simplify

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

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

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

Apply log rule:

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

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

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

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

= ln (4)

Rewrite

4

in power-base form:

4 = 2^{2}

= ln (2^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 ln (2)

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Frequently Asked Questions (FAQ)

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