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Popular >

simplify ln| 3/2 |-ln| 1/2 |

Solution

simplify

ln \frac{3}{2} - ln \frac{1}{2}

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln \frac{3}{2} - ln \frac{1}{2}

Apply log rule:

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

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

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

\frac{\frac{3}{2}}{\frac{1}{2}} = 3

= ln (3)

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Frequently Asked Questions (FAQ)

What is ln| 3/2 |-ln| 1/2 | ?
The solution to ln| 3/2 |-ln| 1/2 | is ln(3)