How to Calculating Logarithms

What is a logarithm? Logarithms have to do with generating numbers. Also referred to as “transcendental numbers,” they mainly deal with exponents or the power to which a number is raised. Determining how to use them can be a daunting task, to say the least.

Instructions

Difficulty: Moderately Challenging

Things You’ll Need:

• Scientific calculator
• Algebra knowledge
• Pencil and Paper
• Patience

Calculate Logarithms

1. Get a scientific calculator with “log” functions on it. Most logarithms are in the form of long decimals. Trying to do these types of calculations by hand is not practical. The only way to generate numbers without a calculator is to use Calculus. Calculating one logarithm with Calculus could take as much as 30 minutes to complete. Additionally, most calculators can only do terms of base 10 or base “e.” This is also commonly referred to as “natural logs.”
2. Use the “Change of base” formula. You must convert the standard form logarithms into a ratio and format you can type into a calculator. For any log in standard form, use log b (subscript) x (variable) = log 10 (subscript) x (variable)/log 10 (subscript) b (variable). Once the conversion is complete, you will have a new form to enter into your calculator.
3. Enter your ratio. Press the “log” key on the calculator and then hit the value of x. This is the number you already determined earlier in Step 2. Next, press the division key on the keypad. You will also need to press either the “log” button again.
4. Press the “equals” or “exe” key. You will then see the value of the logarithms on the display.
5. Check your answers. It is always a good idea to go back and make sure you did not miss anything.

Tips & Warnings

• Logarithms are written in the form “l-o-g” with a subscript number, which is your base.
• Use y=m ln In x to determine both x and y related forms of nonlinear sets of data.
• Try to increase your study time to perfect your abilities.
• Never mistake the “x” key for a specific numerical value.
• Be consistent with your calculator key choices. Don't go between “log” and “ln” keys. Pick one and stay with that.

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