What is 0.0259*ln((4.7*10^{17})/(1.15*10^{14)}) ?

The solution to 0.0259*ln((4.7*10^{17})/(1.15*10^{14)}) is 0.0259(ln(4.7*10^{17})-ln(1.15*10^{14}))

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simplify 0.0259ln((4.710^{17})/(1.15*10^{14)})

simplify

0.0259 \cdot ln (\frac{4.7 \cdot 1 0 ^{17}}{1.15 \cdot 1 0 ^{14}})

0.0259 (ln (4.7 \cdot 1 0^{17}) - ln (1.15 \cdot 1 0^{14}))

Decimal Notation

0.21537 \dots

Solution steps

0.0259 ln (\frac{4.7 \cdot 1 0 ^{17}}{1.15 \cdot 1 0 ^{14}})

Apply log rule:

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

ln (\frac{4.7 \cdot 1 0 ^{17}}{1.15 \cdot 1 0 ^{14}}) = ln (4.7 \cdot 1 0^{17}) - ln (1.15 \cdot 1 0^{14})

= 0.0259 (ln (1 0^{17} \cdot 4.7) - ln (1 0^{14} \cdot 1.15))

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What is 0.0259*ln((4.7*10^{17})/(1.15*10^{14)}) ?
The solution to 0.0259*ln((4.7*10^{17})/(1.15*10^{14)}) is 0.0259(ln(4.7*10^{17})-ln(1.15*10^{14}))