What is simplify-1-5*ln((1.5)/4) ?

The solution to simplify-1-5*ln((1.5)/4) is -1-5(ln(1.5)-2ln(2))

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simplify-1-5*ln((1.5)/4)

simplify

- 1 - 5 \cdot ln (\frac{1.5}{4})

- 1 - 5 (ln (1.5) - 2 ln (2))

Decimal Notation

3.90414 \dots

Solution steps

- 1 - 5 ln (\frac{1.5}{4})

Apply log rule:

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

ln (\frac{1.5}{4}) = ln (1.5) - ln (4)

= - 1 - 5 (ln (1.5) - ln (4))

ln (4) = 2 ln (2)

= - 1 - 5 (ln (1.5) - 2 ln (2))

ln (\frac{1}{999})

ln (2 x + 1) - ln (x + 1)

- lo g_{10} (1.4 (1 0^{- 5}))

ln (x (x + 2) (x + 9))

ln (x + 1) - ln (x)

What is simplify-1-5*ln((1.5)/4) ?
The solution to simplify-1-5*ln((1.5)/4) is -1-5(ln(1.5)-2ln(2))