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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Remove parentheses:

(a) = a

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

2 lo g_{10} (3) - lo g_{10} (6)

900 (ln (301.13) - ln (278))

lo g_{6} (x^{4} y^{5})

lo g_{13} ((m + n) \cdot p)

lo g_{4} (9) - lo g_{4} (11)

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