What is 1.76776ln(1/((2sqrt(2)))) ?

The solution to 1.76776ln(1/((2sqrt(2)))) is -(5.30328)/2 ln(2)

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simplify 1.76776ln(1/((2sqrt(2))))

simplify

1.76776 ln (\frac{1}{( 2 2 )})

- \frac{5.30328}{2} ln (2)

Decimal Notation

- 1.83797 \dots

Solution steps

1.76776 ln (\frac{1}{( 2 2 )})

Apply log rule:

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

ln (\frac{1}{( 2 2 )}) = ln (1) - ln ((22))

= 1.76776 (ln (1) - ln (22))

Apply log rule:

lo g_{a} (1) = 0

= 1.76776 (- ln (22) + 0)

0 - ln (22) = - ln (22)

= 1.76776 (- ln (22))

Remove parentheses:

(- a) = - a

= - 1.76776 ln (22)

Simplify

ln (22) : \frac{3}{2} ln (2)

= - 1.76776 \cdot \frac{3}{2} ln (2)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 \cdot 1.76776}{2} ln (2)

Multiply the numbers:

3 \cdot 1.76776 = 5.30328

= - \frac{5.30328}{2} ln (2)

0.8 + 1.4 \cdot ln (\frac{π \cdot 10 0 ^{2}}{1200})

ln (16 \cdot 1 0^{3})

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533})

(1.3)^{2} + ln (\frac{1}{1.3}) - ln (2 e^{1})

lo g_{4}^{2} (x) + lo g_{4} ((x))

What is 1.76776ln(1/((2sqrt(2)))) ?
The solution to 1.76776ln(1/((2sqrt(2)))) is -(5.30328)/2 ln(2)