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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.

The value of log base 10 can be calculated either using the common log function or the natural log function. The value of log1010 is equal to the log function of 10 to the base 10. ing to the definition of the logarithmic function, if logab =x, then ax=b.

Answer and Explanation: Using this formula, we can convert log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following: l o g 2 ( x ) = l o g 10 ( x ) l o g 10 ( 2 ) = l o g ( x ) l o g ( 2 )

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.

Log102=0.30103 (approx.) George C. The base-10 logarithm of 2 is the number x such that 10x=2 . You can calculate logarithms by hand using just multiplication (and dividing by powers of 10 - which is just digit shifting) and the fact that log10(x10)=10?log10x , though it's not very practical...

Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

Log102=0.30103 (approx.) George C. The base-10 logarithm of 2 is the number x such that 10x=2 . You can calculate logarithms by hand using just multiplication (and dividing by powers of 10 - which is just digit shifting) and the fact that log10(x10)=10?log10x , though it's not very practical...