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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.
Pretty much, yeah. It's just another way of expressing exponents.
Say you know the following: (we'll start off easily)
16 = 42
You could also write that as:
log4 16 = 2
Algebraically,
a = bc
so,
logb a = c (b is known as the base, so it is read: log base b of a equals c)
Also, logb a = (log a) / (log b)
A logarithm is the inverse of exponentiation; that is, the log of a number is the exponent to which its base is raised to produce that number. For example common logarithms have base 10; the value N of the log of a number x is found as 10 to the N exponent equals x. For example the log 20 = N; 10 to the N exponent = 20; N = 1.301
Yes, sort of. Asking for the logarithm is equivalent to asking for an unknown exponent. Using the common (base-10) logarithms:Let's assume that somebody asks for log(10) 1000. (The 10 is supposed to be in subscript.)
This is equivalent to asking to complete for "x" in the following equation:
10 to the power x = 1000
(In this case, the answer is 3.)
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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)
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.
Find the inverse log of negative 3.1?
The inverse of the logarithm of a number is ten to the number, meaning that the number is the exponent. In this case, 10^-3.1 equals approximately .0007943.
What is the answer to Y equals 1 plus log2 x?
y=1+log2x implies -1=log2x which can be solved by raising both sides as an exponent of 2 (since the logarithm is base 2). 2-1=2log2x This finally implies: 1/2=x For explanations of why this is: Anything to a negative exponent simply equals that thing to the positive of that exponent under 1 5-1=1/51=1/5 x-2=1/x2 2-3=1/23=1/8 and so 2-1=1/2 Any number raised to a logarithm of the same base as itself will equal the number inside the logarithm. 5log520=20 xlogx2y=2y eln 7=7 and so 2log2x=x
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
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.
What is the common logarithm of 0.072?
The common logarithm of a number is the exponent to which 10 must be raised to equal that number. In this case, the common logarithm of 0.072 is -1.1438. This is because 10 raised to the power of -1.1438 is approximately equal to 0.072.
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.
