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Popular >

simplify ln(x+6)+3ln(x-9)

Solution

simplify

ln (x + 6) + 3 ln (x - 9)

Solution

ln ((x + 6) (x - 9)^{3})

Solution steps

ln (x + 6) + 3 ln (x - 9)

Apply log rule:

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

3 ln (x - 9) = ln ((x - 9)^{3})

= ln (x + 6) + ln ((x - 9)^{3})

Apply log rule:

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

ln (x + 6) + ln ((x - 9)^{3}) = ln ((x - 9)^{3} (x + 6))

= ln ((x + 6) (x - 9)^{3})

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Frequently Asked Questions (FAQ)

What is ln(x+6)+3ln(x-9) ?
The solution to ln(x+6)+3ln(x-9) is ln((x+6)(x-9)^3)