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

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

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

simplify

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

ln (x^{2} + 6 x - 1) - ln (x + 1)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

Apply log rule:

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

= ln (x^{2} + 6 x - 1) - ln (x + 1)

lo g_{7} ((\frac{x ^{6}}{y})^{4})

lo g_{10} (3 \cdot 11)

2 ln (x) + 5 ln (y)

ln (e^{9}) + ln (3 e^{8})

ln (x (x + 7))

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