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Chapter 3: Problem 41

Use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is \(1 .\) Where possible, evaluate logarithmic expressions without using a calculator. $$\log 5+\log 2$$

Short Answer

Expert verified
The simplified form of the given logarithmic expression is \(\log 10\)

Step by step solution

01

Identify the Property To Be Used

Based on the problem, the property \(\log a+ \log b = \log ab\) will be utilized. This property states that the sum of two logarithms with the same base is equal to the logarithm of the product of the arguments.
02

Apply the Logarithmic Property

Applying the property, \(\log 5+ \log 2\) can be rewritten as \(\log (5*2)\)
03

Simplify the Expression

After performing the multiplication inside the parenthesis, \(\log (5*2)\) simplifies to \(\log 10\)

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Most popular questions from this chapter

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