What is 231.84357-224.62838-8.314ln(1/(5.2)) ?

The solution to 231.84357-224.62838-8.314ln(1/(5.2)) is 8.314ln(5.2)+7.21519

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simplify 231.84357-224.62838-8.314ln(1/(5.2))

simplify

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

8.314 ln (5.2) + 7.21519

Decimal Notation

20.92213 \dots

Solution steps

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

Apply log rule:

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

ln (\frac{1}{5.2}) = ln (1) - ln (5.2)

= 231.84357 - 224.62838 - 8.314 (ln (1) - ln (5.2))

8.314 (ln (1) - ln (5.2)) = - 8.314 ln (5.2)

= 231.84357 - 224.62838 - (- 8.314 ln (5.2))

Apply rule

- (- a) = a

= 231.84357 - 224.62838 + 8.314 ln (5.2)

Subtract the numbers:

231.84357 - 224.62838 = 7.21519

= 8.314 ln (5.2) + 7.21519

2 lo g_{10} (x) - lo g_{10} (y)

lo g_{2} (\frac{s ^{7}}{5 t ^{2}})

ln (\frac{m ^{3}}{n ^{7}})

lo g_{10} (\frac{9 a ^{16}}{b ^{2}})

4 - lo g_{4} (16 y)

What is 231.84357-224.62838-8.314ln(1/(5.2)) ?
The solution to 231.84357-224.62838-8.314ln(1/(5.2)) is 8.314ln(5.2)+7.21519