What is 33.33(1)ln(1100/1400)-0.287ln(5/20) ?

The solution to 33.33(1)ln(1100/1400)-0.287ln(5/20) is 33.33ln(11/14)-0.287(ln(5)-ln(20))

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simplify 33.33(1)ln(1100/1400)-0.287ln(5/20)

simplify

33.33 (1) ln (\frac{1100}{1400}) - 0.287 ln (\frac{5}{20})

33.33 ln (\frac{11}{14}) - 0.287 (ln (5) - ln (20))

Decimal Notation

- 7.64006 \dots

Solution steps

33.33 (1) ln (\frac{1100}{1400}) - 0.287 ln (\frac{5}{20})

Apply log rule:

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

ln (\frac{5}{20}) = ln (5) - ln (20)

= (1) \cdot 33.33 ln (\frac{1100}{1400}) - 0.287 (ln (5) - ln (20))

Remove parentheses:

(a) = a

= 33.33 \cdot 1 \cdot ln (\frac{1100}{1400}) - 0.287 (ln (5) - ln (20))

Remove parentheses:

(a) = a

= 33.33 \cdot 1 \cdot ln (\frac{1100}{1400}) - 0.287 (ln (5) - ln (20))

33.33 \cdot 1 \cdot ln (\frac{1100}{1400}) = 33.33 ln (\frac{11}{14})

= 33.33 ln (\frac{11}{14}) - 0.287 (ln (5) - ln (20))

ln (7) + 2 ln (5)

lo g_{7} (2 x) + lo g_{7} (2) + 5

lo g_{5} (6) + lo g_{5} (x)

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

1.296 x - 0.00036 x^{2} = 0

What is 33.33(1)ln(1100/1400)-0.287ln(5/20) ?
The solution to 33.33(1)ln(1100/1400)-0.287ln(5/20) is 33.33ln(11/14)-0.287(ln(5)-ln(20))