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A logarithm is quite the opposite of an exponential function.
Whereas an exponential is y=ax , a log is logay=x
For example, log39=2 because you raise 3 by the 2nd power to get 9. In other words, log39=2 because 32=9
Logarithms are present because they are a handy way to solve exponential equations, and because calculators use them to great advantage.
What else can I help you with?
What is the application of logarithm and anti logarithm?
The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)
Why log 0 is minus infinity?
The logarithm of zero is defined as approaching negative infinity because logarithmic functions represent the exponent to which a base must be raised to produce a given number. As the input to the logarithm approaches zero from the positive side, the exponent needed to achieve that value becomes increasingly negative. Therefore, ( \log_b(0) ) tends toward negative infinity, indicating that no finite exponent can result in zero when using positive bases.
How do you calculate log?
To calculate a logarithm, you determine the exponent to which a specific base must be raised to produce a given number. The formula is expressed as ( \log_b(a) = c ), meaning that ( b^c = a ), where ( b ) is the base, ( a ) is the number, and ( c ) is the logarithm. You can use calculators or logarithm tables for precise values, or apply properties of logarithms, such as the product, quotient, and power rules, to simplify calculations. Common bases include 10 (common logarithm) and ( e ) (natural logarithm).
What is a logarithm normally used for?
The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. THere are seven main applications that logarithms are used for including psychology, computational complexity, fractals, music, and number theory.
Are negative and inverse relationships the same?
Not necessarily. Negatives are called opposites, or additive inverses. Inverses is much more general. For example, the inverse of an exponent is a logarithm.
Is a logarithm is an exponent?
No.
Does an exponent have an opposite?
The inverse function of the exponential is the logarithm.
How can you write exponent equations as logarithm equations?
if y = xa then a = logxy
What is a number or expression using a base and an exponent?
Most likely it is a logarithm.
What is the difference between the common logarithm and the natural logarithm?
A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.
What is the application of logarithm and anti logarithm?
The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)
1 x x raise to 2 divide 2 fact x raise to n divide n fact?
Log of 1, Log Equaling 1; Log as Inverse; What's “ln”? ... The logarithm is the exponent, and the antilogarithm raises the base to that exponent. ... read that as “the logarithm of x in base b is the exponent you put on b to get x as a result.” ... In fact, when you divide two logs to the same base, you're working the ...
What is a number for which a given logarithm stands?
A number for which a given logarithm stands is the result that the logarithm function yields when applied to a specific base and value. For example, in the equation log(base 2) 8 = 3, the number for which the logarithm stands is 8.
What is the shortcut for exponent?
MAYBE LOGARITHM!!! Anyway, this can be true if you compare like this: 2^ 1 + 2^ 1= log2=4
Why log 0 is minus infinity?
The logarithm of zero is defined as approaching negative infinity because logarithmic functions represent the exponent to which a base must be raised to produce a given number. As the input to the logarithm approaches zero from the positive side, the exponent needed to achieve that value becomes increasingly negative. Therefore, ( \log_b(0) ) tends toward negative infinity, indicating that no finite exponent can result in zero when using positive bases.
How do you calculate log?
To calculate a logarithm, you determine the exponent to which a specific base must be raised to produce a given number. The formula is expressed as ( \log_b(a) = c ), meaning that ( b^c = a ), where ( b ) is the base, ( a ) is the number, and ( c ) is the logarithm. You can use calculators or logarithm tables for precise values, or apply properties of logarithms, such as the product, quotient, and power rules, to simplify calculations. Common bases include 10 (common logarithm) and ( e ) (natural logarithm).
What is a logarithm normally used for?
The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. THere are seven main applications that logarithms are used for including psychology, computational complexity, fractals, music, and number theory.
