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Exercise

$\log\left(2\right)+\log\left(50\right)$

Step-by-step Solution

1

The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments

$\log \left(2\cdot 50\right)$
2

Multiply $2$ times $50$

$\log \left(100\right)$
3

Decompose $100$ in it's prime factors

$\log \left(10^{2}\right)$
4

Use the following rule for logarithms: $\log_b(b^k)=k$

$2$

Final answer to the exercise

$2$

Try other ways to solve this exercise

  • Choose an option
  • 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
  • FOIL Method
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Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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