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Popular >

simplify ln((x-4)^4(x-6))

Solution

simplify

ln ((x - 4)^{4} (x - 6))

Solution

4 ln (x - 4) + ln (x - 6)

Solution steps

ln ((x - 4)^{4} (x - 6))

Apply log rule:

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

ln ((x - 4)^{4} (x - 6)) = ln ((x - 4)^{4}) + ln (x - 6)

= ln ((x - 4)^{4}) + ln (x - 6)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((x - 4)^{4}) = 4 ln (x - 4)

= 4 ln (x - 4) + ln (x - 6)

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Frequently Asked Questions (FAQ)

What is ln((x-4)^4(x-6)) ?
The solution to ln((x-4)^4(x-6)) is 4ln(x-4)+ln(x-6)