What is 0.0259ln((2.8*10^{19})/(2*10^{16)}) ?

The solution to 0.0259ln((2.8*10^{19})/(2*10^{16)}) is 0.0259(ln(2.8*10^{19})-ln(2*10^{16}))

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simplify 0.0259ln((2.810^{19})/(210^{16)})

simplify

0.0259 ln (\frac{2.8 \cdot 1 0 ^{19}}{2 \cdot 1 0 ^{16}})

0.0259 (ln (2.8 \cdot 1 0^{19}) - ln (2 \cdot 1 0^{16}))

Decimal Notation

0.18762 \dots

Solution steps

0.0259 ln (\frac{2.8 \cdot 1 0 ^{19}}{2 \cdot 1 0 ^{16}})

Apply log rule:

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

ln (\frac{2.8 \cdot 1 0 ^{19}}{2 \cdot 1 0 ^{16}}) = ln (2.8 \cdot 1 0^{19}) - ln (2 \cdot 1 0^{16})

= 0.0259 (ln (1 0^{19} \cdot 2.8) - ln (1 0^{16} \cdot 2))

ln (x^{2}) + ln (y^{0.5})

ln (\frac{1}{\frac{1}{k}})

ln (\frac{15}{17})

2 lo g_{a} (x) - 3 lo g_{a} (y) + 4 lo g_{a} (z)

(100000 \cdot 0.1) \cdot ln (\frac{0.25}{0.1})

What is 0.0259ln((2.8*10^{19})/(2*10^{16)}) ?
The solution to 0.0259ln((2.8*10^{19})/(2*10^{16)}) is 0.0259(ln(2.8*10^{19})-ln(2*10^{16}))