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-3)ln((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))

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