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Popular >

simplify 4+4ln(x)-ln^2(x)

Solution

simplify

4 + 4 ln (x) - ln^{2} (x)

Solution

4 + ln (x^{3})

Solution steps

4 + 4 ln (x) - ln^{2} (x)

Apply log rule:

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

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

= 4 + ln (x^{4}) - ln^{2} (x)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x^{4}) - ln^{2} (x) = ln (\frac{x ^{4}}{x})

= 4 + ln (\frac{x ^{4}}{x})

Cancel the common factor:

x

= 4 + ln (x^{3})

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Frequently Asked Questions (FAQ)

What is 4+4ln(x)-ln^2(x) ?
The solution to 4+4ln(x)-ln^2(x) is 4+ln(x^3)