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Popular >

simplify ln(3*3.712^2)

Solution

simplify

ln (3 \cdot 3.71 2^{2})

Solution

ln (3) + 2 ln (3.712)

+1

Decimal Notation

3.72175 \dots

Solution steps

ln (3 \cdot 3.71 2^{2})

Apply log rule:

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

ln (3 \cdot 3.71 2^{2}) = ln (3) + ln (3.71 2^{2})

= ln (3) + ln (3.71 2^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (3.71 2^{2}) = 2 ln (3.712)

= ln (3) + 2 ln (3.712)

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Frequently Asked Questions (FAQ)

What is ln(3*3.712^2) ?
The solution to ln(3*3.712^2) is ln(3)+2ln(3.712)