What is simplify-5/4 ln((0.05)/(0.9)) ?

The solution to simplify-5/4 ln((0.05)/(0.9)) is -5/4 (ln(0.05)-ln(0.9))

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simplify-5/4 ln((0.05)/(0.9))

simplify

- \frac{5}{4} ln (\frac{0.05}{0.9})

- \frac{5}{4} (ln (0.05) - ln (0.9))

Decimal Notation

3.61296 \dots

Solution steps

- \frac{5}{4} ln (\frac{0.05}{0.9})

Apply log rule:

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

ln (\frac{0.05}{0.9}) = ln (0.05) - ln (0.9)

= - \frac{5}{4} (ln (0.05) - ln (0.9))

= - \frac{5}{4} (ln (0.05) - ln (0.9))

9 lo g_{6} (x) + 18 lo g_{6} (y)

lo g_{e} (\frac{( a ^{m} \cdot b ^{n} )}{c})

ln (\frac{x + y}{2}) \cdot 2

(ln (90) - ln (95)) \cdot 100

0.026 ln (0.135 \cdot 1 0^{16})

What is simplify-5/4 ln((0.05)/(0.9)) ?
The solution to simplify-5/4 ln((0.05)/(0.9)) is -5/4 (ln(0.05)-ln(0.9))