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Popular >

simplify ln(3)+5ln(2)

Solution

simplify

ln (3) + 5 ln (2)

Solution

ln (96)

+1

Solution steps

ln (3) + 5 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

3 \cdot 2^{5} = 96

= ln (96)

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Frequently Asked Questions (FAQ)

What is ln(3)+5ln(2) ?
The solution to ln(3)+5ln(2) is ln(96)