What is ln(x-2)[ln(x-5)+ln(x+5)] ?

The solution to ln(x-2)[ln(x-5)+ln(x+5)] is ln(x-2)ln((x-5)(x+5))

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simplify ln(x-2)[ln(x-5)+ln(x+5)]

simplify

ln (x - 2) [ln (x - 5) + ln (x + 5)]

ln (x - 2) ln ((x - 5) (x + 5))

Solution steps

ln (x - 2) [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 - 2) [ln ((x - 5) (x + 5))]

Remove parentheses:

(a) = a

= ln (x - 2) ln ((x - 5) (x + 5))

lo g_{10} (\frac{3.08}{1.42}) - 1

- ln (\frac{5}{4}) + 4

ln (24 e^{2 t})

ln (8.3) - ln (7.5)

- ln (x M)

What is ln(x-2)[ln(x-5)+ln(x+5)] ?
The solution to ln(x-2)[ln(x-5)+ln(x+5)] is ln(x-2)ln((x-5)(x+5))