What is ln(x)-4[ln(x-6)+ln(x+6)] ?

The solution to ln(x)-4[ln(x-6)+ln(x+6)] is ln(x)-4ln((x-6)(x+6))

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simplify ln(x)-4[ln(x-6)+ln(x+6)]

simplify

ln (x) - 4 [ln (x - 6) + ln (x + 6)]

ln (x) - 4 ln ((x - 6) (x + 6))

Solution steps

ln (x) - 4 [ln (x - 6) + ln (x + 6)]

Apply log rule:

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

ln (x - 6) + ln (x + 6) = ln ((x - 6) (x + 6))

= ln (x) - 4 [ln ((x - 6) (x + 6))]

Remove parentheses:

(a) = a

= ln (x) - 4 ln ((x - 6) (x + 6))

3 lo g_{b} (x) + 2 lo g_{b} (z)

lo g_{8} (\frac{1}{24})

\frac{1}{5} lo g_{6} (3)

195.94 \cdot ln (\frac{x}{0.0125}) + \frac{5.694}{x} - 911.06

ln (b d x^{d - 1} e^{- b x^{d}})

What is ln(x)-4[ln(x-6)+ln(x+6)] ?
The solution to ln(x)-4[ln(x-6)+ln(x+6)] is ln(x)-4ln((x-6)(x+6))