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

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

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

simplify

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

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

Decimal Notation

61963.29240 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply fractions:

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

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

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

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

ln (4.98 \cdot 1 0^{15})

- lo g_{10} (3.9 \cdot 1 0^{- 3})

ln (75000) - ln (100)

8 ln (3) - 4 ln (5)

2 \cdot ln (x e^{x})

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