What is ((0.35)^2*13.86)/(100*61)*ln(113/100) ?

The solution to ((0.35)^2*13.86)/(100*61)*ln(113/100) is (1.69785)/(6100)(ln(113)-2ln(10))

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simplify ((0.35)^213.86)/(10061)*ln(113/100)

simplify

\frac{( 0.35 ) ^{2} \cdot 13.86}{100 \cdot 61} \cdot ln (\frac{113}{100})

\frac{1.69785}{6100} (ln (113) - 2 ln (10))

Decimal Notation

0.00003 \dots

Solution steps

\frac{( 0.35 ) ^{2} \cdot 13.86}{100 \cdot 61} ln (\frac{113}{100})

Apply log rule:

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

ln (\frac{113}{100}) = ln (113) - ln (100)

= \frac{0.3 5 ^{2} \cdot 13.86}{100 \cdot 61} (ln (113) - ln (100))

Multiply the numbers:

100 \cdot 61 = 6100

= \frac{0.3 5 ^{2} \cdot 13.86}{6100} (ln (113) - ln (100))

0.3 5^{2} \cdot 13.86 = 1.69785

= \frac{1.69785}{6100} (ln (113) - ln (100))

ln (100) = 2 ln (10)

= \frac{1.69785}{6100} (ln (113) - 2 ln (10))

8 lo g_{b} (x) + 2 lo g_{b} (z)

- \frac{2 ln ( 10 x + 5 y - 2 )}{25} + \frac{2 x + y}{5}

ln (6) + ln (3)

ln (4) - ln (\frac{1}{4})

- [\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8})]

What is ((0.35)^2*13.86)/(100*61)*ln(113/100) ?
The solution to ((0.35)^2*13.86)/(100*61)*ln(113/100) is (1.69785)/(6100)(ln(113)-2ln(10))