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Popular >

simplify ln(5)+2ln(4)

Solution

simplify

ln (5) + 2 ln (4)

Solution

ln (80)

+1

Solution steps

ln (5) + 2 ln (4)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= ln (5) + ln (4^{2})

Apply log rule:

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

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

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

5 \cdot 4^{2} = 80

= ln (80)

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Frequently Asked Questions (FAQ)

What is ln(5)+2ln(4) ?
The solution to ln(5)+2ln(4) is ln(80)