What is ln(x)-3[ln(x-7)+ln(x+7)] ?

The solution to ln(x)-3[ln(x-7)+ln(x+7)] is ln(x)-3ln((x-7)(x+7))

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simplify ln(x)-3[ln(x-7)+ln(x+7)]

simplify

ln (x) - 3 [ln (x - 7) + ln (x + 7)]

ln (x) - 3 ln ((x - 7) (x + 7))

Solution steps

ln (x) - 3 [ln (x - 7) + ln (x + 7)]

Apply log rule:

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

ln (x - 7) + ln (x + 7) = ln ((x - 7) (x + 7))

= ln (x) - 3 [ln ((x - 7) (x + 7))]

Remove parentheses:

(a) = a

= ln (x) - 3 ln ((x - 7) (x + 7))

ln (\frac{e ^{5}}{9})

lo g_{b} (\frac{x ^{3} y}{z ^{5}})

lo g_{8} (a^{6} b^{5})

ln (\frac{67}{7})

What is ln(x)-3[ln(x-7)+ln(x+7)] ?
The solution to ln(x)-3[ln(x-7)+ln(x+7)] is ln(x)-3ln((x-7)(x+7))