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Exercise

$x\cdot ln\left(\frac{\left(1+x\right)}{x}\right)$

Step-by-step Solution

1

The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator

$x\left(\ln\left(1+x\right)-\ln\left(x\right)\right)$

Final answer to the exercise

$x\left(\ln\left(1+x\right)-\ln\left(x\right)\right)$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
  • Find the roots
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Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

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