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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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