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Popular >

simplify 2ln(3)+ln(5)

Solution

simplify

2 ln (3) + ln (5)

Solution

ln (45)

+1

Decimal Notation

3.80666 \dots

Solution steps

2 ln (3) + ln (5)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

3^{2} \cdot 5 = 45

= ln (45)

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Frequently Asked Questions (FAQ)

What is 2ln(3)+ln(5) ?
The solution to 2ln(3)+ln(5) is ln(45)