What is 1/(0.00003)ln((75-15)/(400-15)) ?

The solution to 1/(0.00003)ln((75-15)/(400-15)) is (ln(60)-ln(385))/(0.00003)

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simplify 1/(0.00003)ln((75-15)/(400-15))

simplify

\frac{1}{0.00003} ln (\frac{75 - 15}{400 - 15})

\frac{ln ( 60 ) - ln ( 385 )}{0.00003}

Decimal Notation

- 61963.29240 \dots

Solution steps

\frac{1}{0.00003} ln (\frac{75 - 15}{400 - 15})

Apply log rule:

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

ln (\frac{75 - 15}{400 - 15}) = ln (75 - 15) - ln (400 - 15)

= \frac{1}{0.00003} (ln (75 - 15) - ln (400 - 15))

Multiply fractions:

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

= \frac{1 \cdot ( ln ( 75 - 15 ) - ln ( 400 - 15 ) )}{0.00003}

1 \cdot (ln (75 - 15) - ln (400 - 15)) = ln (60) - ln (385)

= \frac{ln ( 60 ) - ln ( 385 )}{0.00003}

\frac{( ln ( 2.71 ) - ln ( 5.82 ) )}{2}

- lo g_{10} (3.162 \cdot 1 0^{- 8})

- \frac{1}{2} ln (3) + ln (2)

- \frac{29886}{ln ( 10 ) 35}

ln (\frac{4}{x}) + ln (\frac{2}{x ^{3}})

What is 1/(0.00003)ln((75-15)/(400-15)) ?
The solution to 1/(0.00003)ln((75-15)/(400-15)) is (ln(60)-ln(385))/(0.00003)