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Log Table: Concept & Definition. Here, f(x) is the Logarithm Function to the base 'b'. The most common bases used in Log Functions are base e and base 10. Common Logarithm [f(x) = log10x]: The Logarithm to base 10 (that is b = 10) is called the Common Logarithm and has many applications in Science and Engineering.

f(x) = loga x The base of the logarithm is a. This can be read it as log base a of x. The most 2 common bases used in logarithmic functions are base 10 and base e.

Logarithms are the inverse of exponents. A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itself to get 1,000?

Some important log formulas are: logb (xy) = logb x + logb y. logb (x / y) = logb x - logb y. logb ax = x logb a.

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

Some important log formulas are: logb (xy) = logb x + logb y. logb (x / y) = logb x - logb y. logb ax = x logb a.

The logarithmic form is written as loga(c)=b. It is a rearrangement of the exponential form, ab=c. Any exponential equation can be written as a logarithm.

Mathematically, Logarithms are expressed as, m is the Logarithm of n to the base b if bm = n, which can also be written as m = logb n. For example, 43 = 64; hence 3 is the Logarithm of 64 to base 4, or 3 = log464. Similarly, we know 103 = 1000, then 3 = log101000.