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Exercise

$\log_2\left(4\right)$

Step-by-step Solution

1

Change the logarithm to base $10$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}$. Since $\log_{10}(b)=\log(b)$, we don't need to write the $10$ as base

$\frac{\log \left(4\right)}{\log \left(2\right)}$

Final answer to the exercise

$\frac{\log \left(4\right)}{\log \left(2\right)}$

Exact Numeric Answer

$2$

Try other ways to solve this exercise

  • Solve using the base change formula of logarithms
  • Write in simplest form
  • Prime Factor Decomposition
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
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