What is ln(x)-3[ln(x-6)+ln(x+6)] ?

The solution to ln(x)-3[ln(x-6)+ln(x+6)] is ln(x)-3ln((x-6)(x+6))

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simplify ln(x)-3[ln(x-6)+ln(x+6)]

simplify

ln (x) - 3 [ln (x - 6) + ln (x + 6)]

ln (x) - 3 ln ((x - 6) (x + 6))

Solution steps

ln (x) - 3 [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) - 3 [ln ((x - 6) (x + 6))]

Remove parentheses:

(a) = a

= ln (x) - 3 ln ((x - 6) (x + 6))

lo g_{3} (\frac{y}{27})

lo g_{10} (\frac{27}{y})

0.935 - \frac{0.592}{2} lo g_{10} (\frac{0.2}{0. 1 ^{2}})

f (x) = ln (\frac{3 ^{x} 6 ^{3 x}}{2 ^{2 x}})

lo g_{b} (\frac{x y ^{3}}{w ^{3} z})

What is ln(x)-3[ln(x-6)+ln(x+6)] ?
The solution to ln(x)-3[ln(x-6)+ln(x+6)] is ln(x)-3ln((x-6)(x+6))