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Popular >

simplify ln(5)+5ln(3)

Solution

simplify

ln (5) + 5 ln (3)

Solution

ln (1215)

+1

Decimal

7.10249 \dots

Solution steps

ln (5) + 5 ln (3)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

5 \cdot 3^{5} = 1215

= ln (1215)

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Frequently Asked Questions (FAQ)

What is ln(5)+5ln(3) ?
The solution to ln(5)+5ln(3) is ln(1215)