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Popular >

simplify ln(sqrt(2))+2ln(2)

Solution

simplify

ln (2) + 2 ln (2)

Solution

ln (42)

+1

Solution steps

ln (2) + 2 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (2^{2} 2)

2^{2} = 4

= ln (42)

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Frequently Asked Questions (FAQ)

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