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Popular >

simplify ((ln(96)-ln(3)))/2

Solution

simplify

\frac{( ln ( 96 ) - ln ( 3 ) )}{2}

Solution

\frac{5 ln ( 2 )}{2}

+1

Decimal Notation

1.73286 \dots

Solution steps

\frac{( ln ( 96 ) - ln ( 3 ) )}{2}

Apply log rule:

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

ln (96) - ln (3) = ln (\frac{96}{3})

= \frac{ln ( \frac{96}{3} )}{2}

Divide the numbers:

\frac{96}{3} = 32

= \frac{ln ( 32 )}{2}

Simplify

ln (32) : 5 ln (2)

= \frac{5 ln ( 2 )}{2}

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Frequently Asked Questions (FAQ)

What is ((ln(96)-ln(3)))/2 ?
The solution to ((ln(96)-ln(3)))/2 is (5ln(2))/2