What is 2*10^{-4}*ln((6.2)/(40*10^{-3)}) ?

The solution to 2*10^{-4}*ln((6.2)/(40*10^{-3)}) is 0.00100…

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simplify 210^{-4}ln((6.2)/(40*10^{-3)})

simplify

2 \cdot 1 0^{- 4} \cdot ln (\frac{6.2}{40 \cdot 1 0 ^{- 3}})

0.00100 \dots

Solution steps

2 \cdot 1 0^{- 4} ln (\frac{6.2}{40 \cdot 1 0 ^{- 3}})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 2 \cdot \frac{1}{1 0 ^{4}} ln (\frac{6.2}{1 0 ^{- 3} \cdot 40})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{1 0 ^{4}} ln (\frac{6.2}{1 0 ^{- 3} \cdot 40})

\frac{1 \cdot 2}{1 0 ^{4}} = \frac{1}{5000}

= \frac{1}{5000} ln (\frac{6.2}{1 0 ^{- 3} \cdot 40})

\frac{6.2}{40 \cdot 1 0 ^{- 3}} = 155

= \frac{1}{5000} ln (155)

Simplify

ln (155) : 5.04342 \dots

= 5.04342 \dots \cdot \frac{1}{5000}

Simplify

= 0.00100 \dots

(e^{l n (2)})^{3}

e^{- 0.367}

2.71 8^{- \frac{0}{100}} \cdot (600 \cdot 2.71 8^{\frac{0}{100}})

38.2 \cdot 1 0^{- 4}

(t + 100)^{- 2} [0.4 (t + 100)^{3} + c]

What is 2*10^{-4}*ln((6.2)/(40*10^{-3)}) ?
The solution to 2*10^{-4}*ln((6.2)/(40*10^{-3)}) is 0.00100…