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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

1.49786 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

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Frequently Asked Questions (FAQ)

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