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Popular >

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

Solution

simplify

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

Solution

ln (\frac{15}{4})

+1

Decimal Notation

1.32175 \dots

Solution steps

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

Apply log rule:

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

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

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

(\frac{3}{2} + 1) (\frac{1}{2} + 1) = \frac{15}{4}

= ln (\frac{15}{4})

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Frequently Asked Questions (FAQ)

What is ln(3/2+1)+ln(1/2+1) ?
The solution to ln(3/2+1)+ln(1/2+1) is ln(15/4)