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)
log (short for logarithm) does not actually have a value. It is actually an operation. So if you see log(10), for instance, you need to take the logarithm of the number in the parenthesis. To do that, just ask yourself "ten raised to WHAT POWER equals the number inside the parenthesis?" And log(#) = that exponent. To finish the example above, log(10) asks you 10? = 10. The answer here is 1, so log(10)=1.
If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.
If you are using a scientific calculator you will have a key labelled "log". To find the logarithm (to base 10) of a number, simply enter "log" followed by the number that you want to log. If you want a natural logarithm - log to the base e - use the "ln" key instead. If you haven't got a scientific calculator, use the one on your computer.
The natural logarithm (ln) is used when you have log base e
One way to find log values without a logarithm book is to use the properties of logarithms. If you have a base and an exponent equal to a number, you can rewrite it in logarithmic form. Another method is to use a calculator or online tool to compute the log value of a number.
To find the logarithmic cosine in a logarithm table or log book, you would need to first look up the logarithm of the cosine of the angle given. Locate the logarithm value of cosine in the log book corresponding to the angle provided, and this will give you the result.
The value of log 500 depends on the base of the logarithm. If the base is 10 (common logarithm), then log 500 is approximately 2.69897. If the base is e (natural logarithm), then log_e 500 is approximately 6.2146. The logarithm function is the inverse of exponentiation, so log 500 represents the power to which the base must be raised to equal 500.
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.
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)
A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)
In mathematics, the logarithm function is denoted by "log". The base of the logarithm is typically specified, for example, "Log S" usually refers to the logarithm of S to a certain base (e.g., base 10 or base e).
log (short for logarithm) does not actually have a value. It is actually an operation. So if you see log(10), for instance, you need to take the logarithm of the number in the parenthesis. To do that, just ask yourself "ten raised to WHAT POWER equals the number inside the parenthesis?" And log(#) = that exponent. To finish the example above, log(10) asks you 10? = 10. The answer here is 1, so log(10)=1.
A log with a subscript typically indicates the base of the logarithm. For example, "log₃(x)" means the logarithm of x in base 3. This notation is used to specify the base of the logarithm function.
If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.
Natural log Common log Binary log
Coppersmith's discrete logarithm method