What is 1/(0.00499)ln((400-15)/(75-15)) ?

The solution to 1/(0.00499)ln((400-15)/(75-15)) is (ln(385)-ln(60))/(0.00499)

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simplify 1/(0.00499)ln((400-15)/(75-15))

simplify

\frac{1}{0.00499} ln (\frac{400 - 15}{75 - 15})

\frac{ln ( 385 ) - ln ( 60 )}{0.00499}

Decimal Notation

372.52480 \dots

Solution steps

\frac{1}{0.00499} 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}{0.00499} (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 ) )}{0.00499}

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

= \frac{ln ( 385 ) - ln ( 60 )}{0.00499}

10 lo g_{10} (\frac{1 0 ^{- 6} + 1 0 ^{- 6}}{1 0 ^{- 12}})

- lo g_{10} (1.8 \cdot 1 0^{- 4}) + lo g_{10} (\frac{1}{1.5})

ln (e^{5} \cdot 3^{2 l o g_{3} (3)})

ln (\frac{m ! e ^{- x}}{( 1 + x ) ^{m + 1}})

ln (x \cdot x)

What is 1/(0.00499)ln((400-15)/(75-15)) ?
The solution to 1/(0.00499)ln((400-15)/(75-15)) is (ln(385)-ln(60))/(0.00499)