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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.
31 Ιουλ 2024 · Your favorite tool to calculate the value of log₂ (x) for arbitrary (positive) x. The operation is a special case of the logarithm, i.e. when the log's base is equal to 2. As such, we sometimes call it the binary logarithm. If you wish to discover the more general case, check out our log calculator.
This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
log2(8) = x log 2 (8) = x. Rewrite log2 (8) = x log 2 (8) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal 1 1, then logb (x) = y log b (x) = y is equivalent to by = x b y = x. 2x = 8 2 x = 8.
30 Ιουλ 2024 · 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.
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). There are values for which the logarithm function returns negative results, e.g. log20.125 = -3, since 2 -3 = 1 / 2 3 = 1/8 = 0.125.
