What is ln(x-4)[ln(x-5)+ln(x+5)] ?

The solution to ln(x-4)[ln(x-5)+ln(x+5)] is ln(x-4)ln((x-5)(x+5))

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simplify ln(x-4)[ln(x-5)+ln(x+5)]

simplify

ln (x - 4) [ln (x - 5) + ln (x + 5)]

ln (x - 4) ln ((x - 5) (x + 5))

Solution steps

ln (x - 4) [ln (x - 5) + ln (x + 5)]

Apply log rule:

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

ln (x - 5) + ln (x + 5) = ln ((x - 5) (x + 5))

= ln (x - 4) [ln ((x - 5) (x + 5))]

Remove parentheses:

(a) = a

= ln (x - 4) ln ((x - 5) (x + 5))

ln (\frac{10}{12})

- ln (\frac{7163}{7})

c \cdot e^{40 \cdot (\frac{1}{20} \cdot l n (\frac{19}{20})) = 39}

3 lo g_{3^{^{'}}} (- 2 lo g_{6} (x))

lo g_{2} (3) + 4 lo g_{2} (x) + \frac{1}{2} lo g_{2} (y)

What is ln(x-4)[ln(x-5)+ln(x+5)] ?
The solution to ln(x-4)[ln(x-5)+ln(x+5)] is ln(x-4)ln((x-5)(x+5))