By raising e (≈ 2.7182818...) to the number:
If m = loge n, then n = em
This calculation I would do either with log tables, a scientific calculator, a slide rule, or by working out enough terms of the series using a basic calculator (with a memory) or a pencil and paper:
em = 1 + Σ1/r! mr
for r=1 to as many terms as needed to get the required accuracy wanted.
Find the base for the logarithm: it is likely to be 10 if you are a newcomer to logs or e (= 2.71828...) if you are more advanced. Then the antilog of x is 10x or ex.
If it is log to the base 10, use the calculator to find 10 to that power. If it is log to the base e, use the calculator to find e to that power. Both the above are standard functions on all scientific calculators and are easy to work out on spreadsheets. Alternatively, you can find the antilog of the absolute value and then find the reciprocal. Thus antilog(-3.5) = 1/antilog(3.5) etc.
First you must decide what basis you are using for logarithms. Often this will be the number 10, or the number e. (In theory, any number greater than 1 will work.) Then you just raise the base to your number. For example, the antilog (base-10) of 5 is simply 105 = 100,000. Your scientific calculator should have an antilog key.
Depends on your calculator. If you have "raise to the power" then use "raise to the power 1/3". If not, try logs: either logs to base 10 or logs to base e will do: find the log, divide it by 3, then find the antilog. For base e, (log sometimes written "ln" meaning "natural log") the antilog is just the exponential : " ex ".
sqrt(35) = ± 5.9161 It is usually simple with a scientific calculator or computer but not so otherwise. If you have access to log and antilog tables, you can look up log(35) which is 1.5441 Multiply that by 0.5 (square root is the same as power 0.5) to give 0.7720 And then look up the antilog of that to give 5.9161. [Antilog 0.7720 = 100.7720] You could take logs to any base: 10, e or another number, but 10 and e are the most widely used. Finally, there is a method that resembles long division but it is too complicated for me to explain here.
Find the base for the logarithm: it is likely to be 10 if you are a newcomer to logs or e (= 2.71828...) if you are more advanced. Then the antilog of x is 10x or ex.
If it is log to the base 10, use the calculator to find 10 to that power. If it is log to the base e, use the calculator to find e to that power. Both the above are standard functions on all scientific calculators and are easy to work out on spreadsheets. Alternatively, you can find the antilog of the absolute value and then find the reciprocal. Thus antilog(-3.5) = 1/antilog(3.5) etc.
The value of antilog(1.0913) depends on the base to which the logarithm was taken. Antilog(1.0913) = Base1.0913. The two most common bases are e = 2.71828 (approx) and 10. If the base was e, then antilog(1.0913) = e1.0913 = 2.978 If the base was 10, then antilog(1.0913)= 101.0913 = 12.340
Antilog 0.8024 = 100.8024 = 6.3445 In more advanced mathematics, logarithms would be to the base e, but I expect that is not the case here.
First you must decide what basis you are using for logarithms. Often this will be the number 10, or the number e. (In theory, any number greater than 1 will work.) Then you just raise the base to your number. For example, the antilog (base-10) of 5 is simply 105 = 100,000. Your scientific calculator should have an antilog key.
First you must decide what basis you are using for logarithms. Often this will be the number 10, or the number e. (In theory, any number greater than 1 will work.) Then you just raise the base to your number. For example, the antilog (base-10) of 5 is simply 105 = 100,000. Your scientific calculator should have an antilog key.
102.8 = 630.9573 This assumes that the base for the logs is 10. If the base was e then it is likely that "exp" would be used instead of "antilog"
Both for logs and antilogs, the base must be specified. Once you decide on your base, you can calculate that on any scientific calculator. Use the antilog function (base 10, or base e, if that's what you need), or calculate 10 to the power -4.1 (if you want a base-10 antilog), or e to the power -4.1 (if you want a base-e antilog), or some other base to this power. In Excel, you can use the power operator. For example, for 10 to the power -4.1 (that is, the antilog, base 10), type the following in an Excel cell: =10^-4.1
Depends on your calculator. If you have "raise to the power" then use "raise to the power 1/3". If not, try logs: either logs to base 10 or logs to base e will do: find the log, divide it by 3, then find the antilog. For base e, (log sometimes written "ln" meaning "natural log") the antilog is just the exponential : " ex ".
The antilog of 12665 is 1012665, or e12665, or 212665, or some other number to that power, depending on the selected base. You have to specify a base with logs or antilogs, but a base of 10 or e is often assumed. In any case, the result is a very, very large number, which most calculators can't handle.
The antilog of a number is the inverse operation of taking the logarithm of that number. In this case, the antilog of 1.25 can be calculated by raising 10 to the power of 1.25. Therefore, the antilog of 1.25 is approximately 17.7828.
Suppose you want to divide x by y Find log(x) and log(y) to any base b (usually 10 or e) Calculate z = log(x) - log(y) Look up the antilog of z (or find the number whose log is z). x/y = antilog(z)