What is (7.2)/(150)ln(1/(0.03)) ?

The solution to (7.2)/(150)ln(1/(0.03)) is -(7.2)/(150)ln(0.03)

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simplify (7.2)/(150)ln(1/(0.03))

simplify

\frac{7.2}{150} ln (\frac{1}{0.03})

- \frac{7.2}{150} ln (0.03)

Decimal Notation

0.16831 \dots

Solution steps

\frac{7.2}{150} ln (\frac{1}{0.03})

Apply log rule:

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

ln (\frac{1}{0.03}) = ln (1) - ln (0.03)

= \frac{7.2}{150} (ln (1) - ln (0.03))

Apply log rule:

lo g_{a} (1) = 0

= \frac{7.2}{150} (- ln (0.03) + 0)

0 - ln (0.03) = - ln (0.03)

= \frac{7.2}{150} (- ln (0.03))

Remove parentheses:

(- a) = - a

= - \frac{7.2}{150} ln (0.03)

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What is (7.2)/(150)ln(1/(0.03)) ?
The solution to (7.2)/(150)ln(1/(0.03)) is -(7.2)/(150)ln(0.03)