What is 0.0259*ln((2*10^{16})/(1.5*10^{10)}) ?

The solution to 0.0259*ln((2*10^{16})/(1.5*10^{10)}) is 0.0259(ln(2*10^{16})-ln(1.5*10^{10}))

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simplify 0.0259ln((210^{16})/(1.5*10^{10)})

simplify

0.0259 \cdot ln (\frac{2 \cdot 1 0 ^{16}}{1.5 \cdot 1 0 ^{10}})

0.0259 (ln (2 \cdot 1 0^{16}) - ln (1.5 \cdot 1 0^{10}))

Decimal Notation

0.36527 \dots

Solution steps

0.0259 ln (\frac{2 \cdot 1 0 ^{16}}{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{2 \cdot 1 0 ^{16}}{1.5 \cdot 1 0 ^{10}}) = ln (2 \cdot 1 0^{16}) - ln (1.5 \cdot 1 0^{10})

= 0.0259 (ln (1 0^{16} \cdot 2) - ln (1 0^{10} \cdot 1.5))

\frac{1}{2} ln (2 \cdot 9.5 + 1) + 2 ln (9.5 - 1)

\frac{1}{0.0105} ln (\frac{8000}{5000})

ln (\frac{129}{1.22})

lo g_{7} (a^{2} b^{3} c)

38 ln (\frac{38}{21.21})

What is 0.0259*ln((2*10^{16})/(1.5*10^{10)}) ?
The solution to 0.0259*ln((2*10^{16})/(1.5*10^{10)}) is 0.0259(ln(2*10^{16})-ln(1.5*10^{10}))