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Popular >

simplify 4ln(3x+1)+ln(x-4)

Solution

simplify

4 ln (3 x + 1) + ln (x - 4)

Solution

ln ((3 x + 1)^{4} (x - 4))

Solution steps

4 ln (3 x + 1) + ln (x - 4)

Apply log rule:

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

4 ln (3 x + 1) = ln ((3 x + 1)^{4})

= ln ((3 x + 1)^{4}) + ln (x - 4)

Apply log rule:

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

ln ((3 x + 1)^{4}) + ln (x - 4) = ln ((x - 4) (3 x + 1)^{4})

= ln ((3 x + 1)^{4} (x - 4))

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Frequently Asked Questions (FAQ)

What is 4ln(3x+1)+ln(x-4) ?
The solution to 4ln(3x+1)+ln(x-4) is ln((3x+1)^4(x-4))