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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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