What is 0.026*ln((0.4114)/(8*10^{-16)}) ?

The solution to 0.026*ln((0.4114)/(8*10^{-16)}) is 0.026(ln(0.4114)+ln(5^{16}*8192))

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simplify 0.026ln((0.4114)/(810^{-16)})

simplify

0.026 \cdot ln (\frac{0.4114}{8 \cdot 1 0 ^{- 16}})

0.026 (ln (0.4114) + ln (5^{16} \cdot 8192))

Decimal Notation

0.88071 \dots

Solution steps

0.026 ln (\frac{0.4114}{8 \cdot 1 0 ^{- 16}})

Apply log rule:

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

ln (\frac{0.4114}{8 \cdot 1 0 ^{- 16}}) = ln (0.4114) - ln (8 \cdot 1 0^{- 16})

= 0.026 (ln (0.4114) - ln (1 0^{- 16} \cdot 8))

Multiply

8 \cdot 1 0^{- 16} : \frac{1}{5 ^{16} \cdot 8192}

= 0.026 (ln (0.4114) - ln (\frac{1}{5 ^{16} \cdot 8192}))

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= 0.026 (ln (0.4114) - (- ln (5^{16} \cdot 8192)))

Apply rule

- (- a) = a

= 0.026 (ln (0.4114) + ln (5^{16} \cdot 8192))

ln (2) - 2 ln (2 + 1)

ln (a) - 4 ln (b) + 5 ln (c)

ln (n + 1) + ln (n - 1)

\frac{ln ( 2.01 ) - ln ( 2 )}{2.01 - 2}

ln (θ^{n} \cdot x^{θ - 1})

What is 0.026*ln((0.4114)/(8*10^{-16)}) ?
The solution to 0.026*ln((0.4114)/(8*10^{-16)}) is 0.026(ln(0.4114)+ln(5^{16}*8192))