What is simplify-ln((3.8)/(16)) ?

The solution to simplify-ln((3.8)/(16)) is -ln(3.8)+4ln(2)

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simplify-ln((3.8)/(16))

simplify

- ln (\frac{3.8}{16})

- ln (3.8) + 4 ln (2)

Decimal Notation

1.43758 \dots

Solution steps

- ln (\frac{3.8}{16})

Apply log rule:

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

ln (\frac{3.8}{16}) = ln (3.8) - ln (16)

= - (ln (3.8) - ln (16))

ln (16) = 4 ln (2)

= - (ln (3.8) - 4 ln (2))

Distribute parentheses

= - (ln (3.8)) - (- 4 ln (2))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (3.8) + 4 ln (2)

lo g_{e} (8) + lo g_{e} (70)

ln (x r^{x})

lo g_{1.8} (\frac{4.22}{3.13}) + 55.28 - 55.02

ln (\frac{55}{7})

ln (\frac{a ^{- 4}}{b ^{- 4} c ^{4}})

What is simplify-ln((3.8)/(16)) ?
The solution to simplify-ln((3.8)/(16)) is -ln(3.8)+4ln(2)