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Popular >

simplify ln(3)+2ln(5)

Solution

simplify

ln (3) + 2 ln (5)

Solution

ln (75)

+1

Decimal Notation

4.31748 \dots

Solution steps

ln (3) + 2 ln (5)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (3) + ln (5^{2})

Apply log rule:

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

ln (3) + ln (5^{2}) = ln (5^{2} \cdot 3)

= ln (5^{2} \cdot 3)

3 \cdot 5^{2} = 75

= ln (75)

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Frequently Asked Questions (FAQ)

What is ln(3)+2ln(5) ?
The solution to ln(3)+2ln(5) is ln(75)