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Popular >

simplify 2ln(x+3)+2ln(x-3)

Solution

simplify

2 ln (x + 3) + 2 ln (x - 3)

Solution

ln ((x + 3)^{2} (x - 3)^{2})

Solution steps

2 ln (x + 3) + 2 ln (x - 3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x + 3) = ln ((x + 3)^{2})

= ln ((x + 3)^{2}) + 2 ln (x - 3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x - 3) = ln ((x - 3)^{2})

= ln ((x + 3)^{2}) + ln ((x - 3)^{2})

Apply log rule:

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

ln ((x + 3)^{2}) + ln ((x - 3)^{2}) = ln ((x + 3)^{2} (x - 3)^{2})

= ln ((x + 3)^{2} (x - 3)^{2})

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Frequently Asked Questions (FAQ)

What is 2ln(x+3)+2ln(x-3) ?
The solution to 2ln(x+3)+2ln(x-3) is ln((x+3)^2(x-3)^2)