What is ln((-4x+1)/(5x+2)) ?

The solution to ln((-4x+1)/(5x+2)) is ln(-4x+1)-ln(5x+2)

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simplify ln((-4x+1)/(5x+2))

simplify

ln (\frac{- 4 x + 1}{5 x + 2})

ln (- 4 x + 1) - ln (5 x + 2)

Solution steps

ln (\frac{- 4 x + 1}{5 x + 2})

Apply log rule:

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

ln (\frac{- 4 x + 1}{5 x + 2}) = ln (- 4 x + 1) - ln (5 x + 2)

= ln (- 4 x + 1) - ln (5 x + 2)

3 + x + ln (\frac{x}{2})

\frac{ln ( \frac{8}{9} )}{2} + ln (4) - ln (3) - 1

- lo g_{10} (1.28 \cdot 1 0^{- 12})

lo g_{11} (\frac{2 x ^{2}}{y ^{3} 3})

ln (\frac{x}{500})

What is ln((-4x+1)/(5x+2)) ?
The solution to ln((-4x+1)/(5x+2)) is ln(-4x+1)-ln(5x+2)