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Popular >

simplify 1/2 ln(5)-ln(2)

Solution

simplify

\frac{1}{2} ln (5) - ln (2)

Solution

ln (\frac{5 ^{\frac{1}{2}}}{2})

+1

Decimal Notation

0.11157 \dots

Solution steps

\frac{1}{2} ln (5) - ln (2)

Apply log rule:

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

\frac{1}{2} ln (5) = ln (5^{\frac{1}{2}})

= ln (5^{\frac{1}{2}}) - ln (2)

Apply log rule:

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

ln (5^{\frac{1}{2}}) - ln (2) = ln (\frac{5 ^{\frac{1}{2}}}{2})

= ln (\frac{5 ^{\frac{1}{2}}}{2})

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Frequently Asked Questions (FAQ)

What is 1/2 ln(5)-ln(2) ?
The solution to 1/2 ln(5)-ln(2) is ln((5^{1/2})/2)