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Popular >

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

Solution

simplify

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

Solution

ln (x^{2} (x - 2)^{5})

Solution steps

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

Apply log rule:

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

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

= ln (x^{2}) + 5 ln (x - 2)

Apply log rule:

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

5 ln (x - 2) = ln ((x - 2)^{5})

= ln (x^{2}) + ln ((x - 2)^{5})

Apply log rule:

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

ln (x^{2}) + ln ((x - 2)^{5}) = ln (x^{2} (x - 2)^{5})

= ln (x^{2} (x - 2)^{5})

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Frequently Asked Questions (FAQ)

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