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Exercise

$\ln\sqrt{3-x^2}$

Step-by-step Solution

1

Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

$\frac{1}{2}\ln\left(3-x^2\right)$

Final answer to the exercise

$\frac{1}{2}\ln\left(3-x^2\right)$

Try other ways to solve this exercise

  • Choose an option
  • Solve for x
  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
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Main Topic: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.

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