What is 1/(1.21*10^{-4)}ln(15/10) ?

The solution to 1/(1.21*10^{-4)}ln(15/10) is (10000)/(1.21)(ln(15)-ln(10))

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simplify 1/(1.21*10^{-4)}ln(15/10)

simplify

\frac{1}{1.21 \cdot 1 0 ^{- 4}} ln (\frac{15}{10})

\frac{10000}{1.21} (ln (15) - ln (10))

Decimal Notation

3350.95130 \dots

Solution steps

\frac{1}{1.21 \cdot 1 0 ^{- 4}} ln (\frac{15}{10})

Apply log rule:

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

ln (\frac{15}{10}) = ln (15) - ln (10)

= \frac{1}{1 0 ^{- 4} \cdot 1.21} (ln (15) - ln (10))

\frac{1}{1.21 \cdot 1 0 ^{- 4}} = \frac{10000}{1.21}

= \frac{10000}{1.21} (ln (15) - ln (10))

ln (\frac{294.53}{473})

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

ln ((4.1 \cdot x) 4.1)

lo g_{10} (2 m^{5} n^{3})

5 \cdot ln (300) + 3 \cdot ln (4.002) - ln (1 0^{5}) - 1.1516

What is 1/(1.21*10^{-4)}ln(15/10) ?
The solution to 1/(1.21*10^{-4)}ln(15/10) is (10000)/(1.21)(ln(15)-ln(10))