What is 0.025ln((1.4718)/(2.45*10^{-12)}) ?

The solution to 0.025ln((1.4718)/(2.45*10^{-12)}) is 0.025(ln(1.4718)-ln((2.45)/(10^{12)}))

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simplify 0.025ln((1.4718)/(2.45*10^{-12)})

simplify

0.025 ln (\frac{1.4718}{2.45 \cdot 1 0 ^{- 12}})

0.025 (ln (1.4718) - ln (\frac{2.45}{1 0 ^{12}}))

Decimal Notation

0.67803 \dots

Solution steps

0.025 ln (\frac{1.4718}{2.45 \cdot 1 0 ^{- 12}})

Apply log rule:

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

ln (\frac{1.4718}{2.45 \cdot 1 0 ^{- 12}}) = ln (1.4718) - ln (2.45 \cdot 1 0^{- 12})

= 0.025 (ln (1.4718) - ln (1 0^{- 12} \cdot 2.45))

ln (2.45 \cdot 1 0^{- 12}) = ln (\frac{2.45}{1 0 ^{12}})

= 0.025 (ln (1.4718) - ln (\frac{2.45}{1 0 ^{12}}))

ln (\frac{a ^{25}}{a ^{3}})

- lo g_{10} (2.3 x 1 0^{- 10})

ln (2 x^{4}) + ln (3 x^{5})

ln (w) + 2 ln (y)

lo g_{3} (- x) - lo g_{3} (2) + 2

What is 0.025ln((1.4718)/(2.45*10^{-12)}) ?
The solution to 0.025ln((1.4718)/(2.45*10^{-12)}) is 0.025(ln(1.4718)-ln((2.45)/(10^{12)}))