What is 0.0259*ln((7*10^{15})/(1.5*10^{10)}) ?

The solution to 0.0259*ln((7*10^{15})/(1.5*10^{10)}) is 0.0259(ln(7*10^{15})-ln(1.5*10^{10}))

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simplify 0.0259ln((710^{15})/(1.5*10^{10)})

simplify

0.0259 \cdot ln (\frac{7 \cdot 1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

0.0259 (ln (7 \cdot 1 0^{15}) - ln (1.5 \cdot 1 0^{10}))

Decimal Notation

0.33808 \dots

Solution steps

0.0259 ln (\frac{7 \cdot 1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

Apply log rule:

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

ln (\frac{7 \cdot 1 0 ^{15}}{1.5 \cdot 1 0 ^{10}}) = ln (7 \cdot 1 0^{15}) - ln (1.5 \cdot 1 0^{10})

= 0.0259 (ln (1 0^{15} \cdot 7) - ln (1 0^{10} \cdot 1.5))

ln (20) - ln (2)

lo g_{10} (\frac{1}{e ^{2} e})

5 lo g_{4} (a) - 10 lo g_{4} (b)

\frac{1}{6} lo g_{2} (\frac{1}{6}) + \frac{5}{6} lo g_{2} (\frac{5}{6})

ln (a rc T g (1 + x^{2}))

What is 0.0259*ln((7*10^{15})/(1.5*10^{10)}) ?
The solution to 0.0259*ln((7*10^{15})/(1.5*10^{10)}) is 0.0259(ln(7*10^{15})-ln(1.5*10^{10}))