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Popular >

simplify ln(6/(3.14^2))

Solution

simplify

ln (\frac{6}{3.1 4 ^{2}})

Solution

ln (6) - 2 ln (3.14)

+1

Decimal Notation

- 0.49668 \dots

Solution steps

ln (\frac{6}{3.1 4 ^{2}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{6}{3.1 4 ^{2}}) = ln (6) - ln (3.1 4^{2})

= ln (6) - ln (3.1 4^{2})

Apply log rule:

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

ln (3.1 4^{2}) = 2 ln (3.14)

= ln (6) - 2 ln (3.14)

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Frequently Asked Questions (FAQ)

What is ln(6/(3.14^2)) ?
The solution to ln(6/(3.14^2)) is ln(6)-2ln(3.14)