Evaluate using your calculator, giving at least 3 decimal places: [tex]$\log (530)=$\square[/tex]
Answer (2)
Evaluate the base 10 logarithm of 530.
Use a calculator to find lo g ( 530 ) ≈ 2.7242758696 .
Round the result to three decimal places.
The final answer is 2.724 .
Explanation
Understanding the problem We are asked to evaluate lo g ( 530 ) using a calculator and provide the answer with at least 3 decimal places. The logarithm here is base 10.
Calculating the logarithm Using a calculator, we find that lo g ( 530 ) ≈ 2.7242758696 .
Rounding the result Rounding this result to at least 3 decimal places, we get 2.724 .
Examples
Logarithms are used in many real-world applications, such as measuring the intensity of earthquakes (Richter scale), the loudness of sounds (decibels), and the acidity of a solution (pH scale). For example, if an earthquake has a Richter scale magnitude of 7.0, it is 10 times more intense than an earthquake with a magnitude of 6.0. Understanding logarithms helps us to quantify and compare these phenomena.
The value of lo g ( 530 ) calculated using a calculator is approximately 2.724 when rounded to three decimal places. To find this, you enter '530' into a calculator and press the 'log' button. The final answer is 2.724 .
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