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Learn what are log formulas, how to derive them using laws of exponents, and how to use them to convert between exponential and logarithmic forms. See solved examples of log formulas with common and natural bases. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100. Logarithm is the power or exponent to which a base must be raised to yield a given number. Read complete notes via this logarithm study material. Logarithm Formula Sep 08, 2022, 16:45 IST In mathematics, logarithms are another way of writing exponents. The logarithm of a number with a base is equal to other numbers. The logarithm is just the opposite function of exponentiation. For e.g, if 10 2 = 100, then log 10 100 = 2. Log b x = n or b n = x Where b = base of the logarithmic function. This can be noticed as the “Logarithm of x to the base b is equal to n.” In this short article, we will learn the definition of logarithms, two ...