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This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1). Regardless of whether you are looking for a natural logarithm, log base 2, or log base 10, this tool will solve your problem.
Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step
Enter the logarithmic expression below which you want to simplify. The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms. Click the blue arrow to submit. Choose "Simplify/Condense" from the topic selector and click to see the result in our Algebra Calculator!
Here are some quick rules for calculating especially simple logarithms. If the base and the number are the same, e.g. log 10 10, the result is 1 (b 1 = b for any b), while if the number is one, log b 1 = 0 for any base (b 0 = 1 for any b).
This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
If x = a y, then y = log a x. Where: a, x, y are real numbers, x > 0, a > 0, a ≠ 1, and a is the base of the logarithm. To illustrate, take the number 10,000 to base 10. The logarithm of this real number will be 4. This is because 10,000 is equivalent to 10 to the power of 4.
