What is simplify-4*ln(25/13)-5*ln(25/13) ?

The solution to simplify-4*ln(25/13)-5*ln(25/13) is -9(2ln(5)-ln(13))

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simplify-4ln(25/13)-5ln(25/13)

simplify

- 4 \cdot ln (\frac{25}{13}) - 5 \cdot ln (\frac{25}{13})

- 9 (2 ln (5) - ln (13))

Decimal

- 5.88533 \dots

Solution steps

- 4 ln (\frac{25}{13}) - 5 ln (\frac{25}{13})

Apply log rule:

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

ln (\frac{25}{13}) = ln (25) - ln (13), ln (\frac{25}{13}) = ln (25) - ln (13)

= - 4 (ln (25) - ln (13)) - 5 (ln (25) - ln (13))

Add similar elements:

- 4 (ln (25) - ln (13)) - 5 (ln (25) - ln (13)) = - 9 (ln (25) - ln (13))

= - 9 (ln (25) - ln (13))

ln (25) = 2 ln (5)

= - 9 (2 ln (5) - ln (13))

ln (\frac{x}{( x ^{2} + 1 ) ^{\frac{1}{2}}}) + x

\frac{1}{2} ln (\frac{110}{125})

lo g_{8} (\frac{9 x ^{2}}{y ^{3}})

\frac{1}{3} ln (n^{2} + 8) - \frac{1}{3} ln (7 n^{2} + 5)

lo g_{2} (\frac{s ^{5}}{7 t ^{2}})

What is simplify-4*ln(25/13)-5*ln(25/13) ?
The solution to simplify-4*ln(25/13)-5*ln(25/13) is -9(2ln(5)-ln(13))