What is 0.0259*ln((2.8*10^{19})/(7*10^{15)}) ?

The solution to 0.0259*ln((2.8*10^{19})/(7*10^{15)}) is 0.0259(ln(2.8*10^{19})-ln(7*10^{15}))

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simplify 0.0259ln((2.810^{19})/(7*10^{15)})

simplify

0.0259 \cdot ln (\frac{2.8 \cdot 1 0 ^{19}}{7 \cdot 1 0 ^{15}})

0.0259 (ln (2.8 \cdot 1 0^{19}) - ln (7 \cdot 1 0^{15}))

Decimal Notation

0.21481 \dots

Solution steps

0.0259 ln (\frac{2.8 \cdot 1 0 ^{19}}{7 \cdot 1 0 ^{15}})

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}}{7 \cdot 1 0 ^{15}}) = ln (2.8 \cdot 1 0^{19}) - ln (7 \cdot 1 0^{15})

= 0.0259 (ln (1 0^{19} \cdot 2.8) - ln (1 0^{15} \cdot 7))

93 + 10 lo g_{10} (5) - 40 lo g_{10} (2)

2 [ln (x + 3) + ln (x) - ln (x^{2} - 1)]

lo g_{4} ((m^{2} n^{3})^{5})

ln (\frac{10}{1})

lo g_{10} (\frac{z ^{2} y}{x ^{2}})

What is 0.0259*ln((2.8*10^{19})/(7*10^{15)}) ?
The solution to 0.0259*ln((2.8*10^{19})/(7*10^{15)}) is 0.0259(ln(2.8*10^{19})-ln(7*10^{15}))