What is simplify-(ln(9/2)-ln(25/2))/4 ?

The solution to simplify-(ln(9/2)-ln(25/2))/4 is -(ln(9/25))/4

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simplify-(ln(9/2)-ln(25/2))/4

simplify

- \frac{ln ( \frac{9}{2} ) - ln ( \frac{25}{2} )}{4}

- \frac{ln ( \frac{9}{25} )}{4}

Decimal Notation

0.25541 \dots

Solution steps

- \frac{ln ( \frac{9}{2} ) - ln ( \frac{25}{2} )}{4}

Apply log rule:

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

ln (\frac{9}{2}) - ln (\frac{25}{2}) = ln (\frac{\frac{9}{2}}{\frac{25}{2}})

= - \frac{ln ( \frac{\frac{9}{2}}{\frac{25}{2}} )}{4}

\frac{\frac{9}{2}}{\frac{25}{2}} = \frac{9}{25}

= - \frac{ln ( \frac{9}{25} )}{4}

- lo g_{10} (1.4 \cdot 1 0^{- 6})

\frac{20}{100} \cdot ln (\frac{20}{100})

lo g_{3} (3 x^{3} y^{5})

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

lo g_{10} (\frac{r}{8 s})

What is simplify-(ln(9/2)-ln(25/2))/4 ?
The solution to simplify-(ln(9/2)-ln(25/2))/4 is -(ln(9/25))/4