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In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.
Logarithm product rule. logb(x × y) = logb(x) + logb(y) Logarithm quotient rule. logb(x / y) = logb(x) - logb(y) Logarithm power rule. logb(x y) = y × logb(x) Logarithm base switch rule. logb(c) = 1 / logc(b) Logarithm base change rule. logb(x) = logc(x) / logc(b) Logarithm - log(x) See also.
Mathematically, log10(x) is equivalent to log(10, x) . See Example 1. The logarithm to the base 10 is defined for all complex arguments x 0. log10(x) rewrites logarithms to the base 10 in terms of the natural logarithm: log10(x) = ln(x)/ln(10) .
The three parts of a logarithm are a base, an argument and an answer (also called power). ... In this function, the base is 2, the argument is 3 and the answer is 8. This exponential function has an inverse, its logarithm: In this logarithm, the base is 2, the argument is 8 and the answer is 3.
STEP 1: Replace the function notation f (x) by y. STEP 2: Switch the roles of x and y. x y. y x. STEP 3: Isolate the log expression on one side (left or right) of the equation. STEP 5: Solve the exponential equation for y to get the inverse.
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
So 0, 1, and every negative number presents a potential problem as the base of a power function. ... So in summary, because the base can only be a positive number, that means the argument of the logarithm can only be a positive number.
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