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Popular >

simplify ln(3)-ln(2)-ln(2)

Solution

simplify

ln (3) - ln (2) - ln (2)

Solution

ln (\frac{3}{4})

+1

Solution steps

ln (3) - ln (2) - ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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