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Popular >

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

Solution

simplify

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

Solution

ln (\frac{9}{16})

+1

Decimal Notation

- 0.57536 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{( \frac{3}{2} ) ^{2}}{4} = \frac{9}{16}

= ln (\frac{9}{16})

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Frequently Asked Questions (FAQ)

What is 2ln(3/2)-ln(4) ?
The solution to 2ln(3/2)-ln(4) is ln(9/16)