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Popular >

simplify ln(5)+1/2 ln(4)

Solution

simplify

ln (5) + \frac{1}{2} ln (4)

Solution

ln (10)

+1

Decimal Notation

2.30258 \dots

Solution steps

ln (5) + \frac{1}{2} ln (4)

Apply log rule:

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

\frac{1}{2} ln (4) = ln (4^{\frac{1}{2}})

= ln (5) + ln (4^{\frac{1}{2}})

Apply log rule:

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

ln (5) + ln (4^{\frac{1}{2}}) = ln (5 \cdot 4^{\frac{1}{2}})

= ln (5 \cdot 4^{\frac{1}{2}})

5 \cdot 4^{\frac{1}{2}} = 10

= ln (10)

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Frequently Asked Questions (FAQ)

What is ln(5)+1/2 ln(4) ?
The solution to ln(5)+1/2 ln(4) is ln(10)