Write the following logarithm as a sum of logarithms with no products, powers or quotients.

Question

ln ( x⁴(x-4)² )

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(square root x²+1)

Answer 1

ln [((x⁴(x - 4)²)) / √(x² + 1)]

ln x⁴ + ln (x - 4)² - ln (x² + 1)^0.5

ln x⁴ + 2 ln (x - 4) - 0.5 ln (x² + 1)

4 ln x + 2 ln (x - 4) - 0.5 ln (x² + 1)