What is log_{e}(-1/6 (x^2-6x+5)) ?

The solution to log_{e}(-1/6 (x^2-6x+5)) is ln(x^2-6x+5)-ln(6)

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simplify log_{e}(-1/6 (x^2-6x+5))

simplify

lo g_{e} (- \frac{1}{6} (x^{2} - 6 x + 5))

ln (x^{2} - 6 x + 5) - ln (6)

Solution steps

lo g_{e} (- \frac{1}{6} (x^{2} - 6 x + 5))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{e} (- \frac{1}{6} (x^{2} - 6 x + 5)) = lo g_{e} (\frac{1}{6}) + lo g_{e} (x^{2} - 6 x + 5)

= lo g_{e} (\frac{1}{6}) + lo g_{e} (x^{2} - 6 x + 5)

Apply log rule:

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

lo g_{e} (\frac{1}{6}) = lo g_{e} (1) - lo g_{e} (6)

= lo g_{e} (1) - lo g_{e} (6) + lo g_{e} (x^{2} - 6 x + 5)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (6) + lo g_{e} (x^{2} - 6 x + 5)

Apply log rule:

lo g_{e} (x) = ln (x)

= 0 - ln (6) + lo g_{e} (x^{2} - 6 x + 5)

Apply log rule:

lo g_{e} (x) = ln (x)

= 0 - ln (6) + ln (x^{2} - 6 x + 5)

0 - ln (6) + ln (x^{2} - 6 x + 5) = - ln (6) + ln (x^{2} - 6 x + 5)

= ln (x^{2} - 6 x + 5) - ln (6)

ln (x e^{- 6850 x})

lo g_{2} (28.8) - lo g_{2} (1.8)

0.025 ln (\frac{1.4718}{2.45 \cdot 1 0 ^{- 12}})

ln (\frac{a ^{25}}{a ^{3}})

- lo g_{10} (2.3 x 1 0^{- 10})

What is log_{e}(-1/6 (x^2-6x+5)) ?
The solution to log_{e}(-1/6 (x^2-6x+5)) is ln(x^2-6x+5)-ln(6)