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In Mathematics, logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation. For example, if 102 = 100 then log10 100 = 2.

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, ?y equals log to the base b of x,? or more simply, ?y equals log base b of x.? As with exponential functions, b > 0 and b ? 1.

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

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.

Log is the inverse operation to exponentiation, just as division is the inverse of multiplication and vice versa. In simple cases the logarithm counts factors in multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); 10 is used as a factor three times.

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.

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.

Calculating logarithms in your head - YouTube YouTube Start of suggested clip End of suggested clip We get log 5 quickly from the log of 2 so don't even bother memorizing. The log of 5 is just the logMoreWe get log 5 quickly from the log of 2 so don't even bother memorizing. The log of 5 is just the log of 10 divided by 2.

Description. The Microsoft Excel LOG function returns the logarithm of a number to a specified base. The LOG function is a built-in function in Excel that is categorized as a Math/Trig Function. It can be used as a worksheet function (WS) in Excel.

The natural logarithm and the common logarithm. How to calculate logarithm with an arbitrary base? Log base 2: an example....Applying logarithms to arithmetic computations. Rule or special caseFormulaProductln(x y) = ln(x) + ln(y)Quotientln(x/y) = ln(x) 2212 ln(y)Log of powerln(xy) = y ln(x)Log of eln(e) = 12 more rows ?