What is (ln(0.15)-ln(0.25))/(-6.7*10^{-4)} ?

The solution to (ln(0.15)-ln(0.25))/(-6.7*10^{-4)} is -(10000ln(0.6))/(6.7)

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simplify (ln(0.15)-ln(0.25))/(-6.7*10^{-4)}

simplify

\frac{ln ( 0.15 ) - ln ( 0.25 )}{- 6.7 \cdot 1 0 ^{- 4}}

- \frac{10000 ln ( 0.6 )}{6.7}

Decimal Notation

762.42630 \dots

Solution steps

\frac{ln ( 0.15 ) - ln ( 0.25 )}{- 6.7 \cdot 1 0 ^{- 4}}

Apply log rule:

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

ln (0.15) - ln (0.25) = ln (\frac{0.15}{0.25})

= \frac{ln ( \frac{0.15}{0.25} )}{- 1 0 ^{- 4} \cdot 6.7}

Divide the numbers:

\frac{0.15}{0.25} = 0.6

= \frac{ln ( 0.6 )}{- 6.7 \cdot 1 0 ^{- 4}}

Apply the fraction rule:

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

= - \frac{ln ( 0.6 )}{6.7 \cdot 1 0 ^{- 4}}

1 0^{- 4} = \frac{1}{10000}

= - \frac{ln ( 0.6 )}{6.7 \cdot \frac{1}{10000}}

Multiply

6.7 \cdot \frac{1}{10000} : \frac{6.7}{10000}

= - \frac{ln ( 0.6 )}{\frac{6.7}{10000}}

Apply the fraction rule:

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

= - \frac{10000 ln ( 0.6 )}{6.7}

3 lo g_{m} (z) - \frac{1}{5} lo g_{m} (w) + 6 lo g_{m} (x)

x^{l o g_{x} ((x + 3)^{2}) = 16}

ln (a) + 2 ln (b)

ln (x) - ln (1 - x)

\frac{ln ( \frac{8}{5} )}{2 ln ( 5 )}

What is (ln(0.15)-ln(0.25))/(-6.7*10^{-4)} ?
The solution to (ln(0.15)-ln(0.25))/(-6.7*10^{-4)} is -(10000ln(0.6))/(6.7)