The logarithm of a positive real nu

The logarithm of a positive real number x to the base-a is the number y that satisfies the equation a y = x. In symbols, the logarithm of x to the base-a is loga x, and, if a y = x, then y = loga x.

Essentially, the logarithm to base-a is a function: To each positive real number x, the logarithm to base-a assigns x a number y such that a y = x. For example, 102 = 100; therefore, log10 100 = 2. The logarithm of 100 to base-10 is 2, which is an elaborate name for the power of 10 that equals 100.

Any positive real number except 1 can be used as the base. However, the two most useful integer bases are 10 and 2. Base-2 , also known as the binary system, is used in computer science because nearly all computers and calculators use base-2 for their internal calculations. Logarithms to the base-10 are called common logarithms. If the base is not specified, then base-10 is assumed, in which case the notation is simplified to log x.

Some examples of logarithms follow.

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The logarithm of a positive real number x to the base-a is the number y that satisfies the equation ay = x. In Symbols, the Logarithm of x to the Base-a is Loga x, and, if ay = x, then Y = Loga x. Essentially, the Logarithm to Base-a is a function: To each positive Real Number x, the Logarithm. to base-a assigns xa number y such that ay = x. For example, 102 = 100; therefore, log10 Logarithm of 100 to 100 = 2. The Base-10 is 2, which is an Elaborate name for the Power of 10 that equals 100. Any positive except Real Number 1 Can be used As the Base. However, the two most useful integer bases are 10 and 2. Base-2, also known as the binary system, is used in computer science because nearly all computers and calculators use base-2 for their internal calculations. Logarithms to the base-10 are called common logarithms. If the Base is not Specified, then Base-10 is assumed, in which Case is simplified to the notation log x. Some examples of logarithms follow.