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The logarithm base 10 is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e ? 2.718 as its base; its use is widespread in mathematics and physics, because of its very simple derivative.

The log functions return the natural logarithm (base e ) of x if successful. The log10 functions return the base-10 logarithm. If x is negative, these functions return an indefinite ( IND ), by default. If x is 0, they return infinity ( INF ).

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. In the same fashion, since 102 = 100, then 2 = log10 100.

Logarithms - The Easy Way! - YouTube YouTube Start of suggested clip End of suggested clip You need to multiply two fives five squared is 25.. Now what about log base four of one log of oneMoreYou need to multiply two fives five squared is 25.. Now what about log base four of one log of one is always equal to zero. What about log base seven of seven to the first power is seven.

A common logarithm, Log10(), uses 10 as the base and a natural logarithm, Log(), uses the number e (approximately 2.71828) as the base.

So, when you see log by itself, it means base ten log. When you see ln, it means natural logarithm (we'll define natural logarithms below). In this course only base ten and natural logarithms will be used.

Therefore, the value of log 10 is as follows, We know that logaa=1. Hence, the value of log 10 base 10 =1, this is because of the value of e1=1.