0
To find the antilog of a negative number using a log table, first, add the absolute value of the negative number to the characteristic of the log table. Next, locate the resulting number in the log table to find the corresponding mantissa. Finally, take the antilog of the mantissa to get the final answer. Remember to consider the negative sign of the original number when determining the final result.
Well, darling, to find the antilog of a negative number using a log table, you first need to find the positive equivalent of the negative number. Add the negative number to the log base, and then look up the result in the log table to find the antilog value. Just remember, math doesn't have time for negativity, so keep it positive!
- Ignoring the minus sign, separate the number into the whole number part and the decimal part.
- Add 1 to the whole number part
- Subtract the decimal part from 1.
- Look up the result of step 3 in the [anti-]log table
- Divide the result of step 4 by the base to the power of the number found in step 2.
Due to step 5, it is better to work with common logs (logs to base 10) when using log tables.
Example:
Find the anti-log to base 10 of -2.123:
- -2.123 separates out into 2 and 0.123
- 2 becomes 2 + 1 = 3
- 0.123 becomes 1 - 0.123 = 0.877
- Look up 0.877 → 7.53
- 7.53 ÷ 103 = 0.00753
→ anti-log to base 10 of -2.123 is [approx] 0.00753
Add your answer:
Earn +20 pts
What is negative seven squared?
49 same as positive seven squared
What is the smallest six digit number using the digits 012345?
012345 or -543210, if negative numbers are permitted.
When creating a database a is represented as a table?
table represent the value that are inserted during the user using that website
What is an advantage of using the method of substitution rather than using a graph or table to solve a system of linear equations?
You will obtain a more accurate answer than is possible using graphical methods. It's faster and less work than using a table.
Is a disadvantage using tables?
Whether or not it is a disadvantage depends on what you are trying to do with the table.
How do you find d antilog of a negative term?
The antilog? a log is an exponent, so as an antilog just means you reapply that exponent to the correct base. Log implies base 10, so antilog means use that number as an exponent of 10. If you are using log tables, first separate the whole number part and the decimal part of the log ( they are both negative) then add -1 to the whole number part and +1 to the decimal part. (one is called the characteristic and the other is called the mantissa, but I don't remember which is which now) This creates a positive decimal that you can look up in the log table. The negative integer part becomes an exponent of 10. Put them together and you get an answer in scientific notation. Ex: find antilog of -3.5 (-3 -1) + (-.5 + 1) ==> (-4) + (+.5) look up .5 in the log tables and you get 3.1623 and the -4 becomes 10-4 Put them together by multiplying (adding logs means multiplication of antilogs) to get the final answer 3.1623 x 10-4
How to convert log values into antilog values?
1.Using calculator-press the 'shift' button and then the log number to be converted. N:B:Estimate answer to 3 s.f 2.You can also fin antilog by raising the log by power 10.e.g antilog of x is 10^x
Using logs what is 632x85.3?
632x85.3 = 53909.6
How do you divide 3533 by 9043 using log table?
Subtract the log of the divisor from the log of the dividend and then us the antilog table to find the value of the quotient.When using log tables:It is easiest to use logs to base 10;write the numbers in scientific notation, rounding to significant figures equal to the number of figures of the table;look up the mantissa (the bit before the × 10ⁿ) in the log table to get a value between 0 and 1;consider the exponent (the power of 10) as a number to be added to this log value;do the subtraction in two separate parts: subtract the whole numbers and subtract the fractional part (after the decimal point);if the fractional part is negative, add 1 to it to make it positive and subtract 1 from the whole number;look up the fractional part in the antilog table;multiply this value by 10 to the power of the whole number.Instead of rounding to the figures of the table, you can interpolate between the values in the table, but it is likely to not make much difference to the final value, which is only accurate to a maximum of the figures of the table.When adding the exponent to the looked up log value, if it is negative, write is as the absolute value with a bar over it. This is not a strictly correct use of the decimal point - it is really writing something like -1 + 0.345 in a compact form; the point is that the part after the decimal point is always positive whereas the whole number part is the part which may be negative.If you do not have antilog tables, you can find the antilog by finding the log value inside the table and finding the value in the headings.eg in my 3 figure tables, the log of 3.45 is looked up by finding where row 3.4 intercepts column 5 giving a value of 538 which is 0.538.To find the antilog of 0.307 I find 307 in row 2.0 under column 3 meaning the antilog of 0.307 is 2.03If the exact value does not appear in the table, you can interpolate between values to get the closest approximation. eg the antilog of 0.308: 307 → 2.03, 310 → 2.04; 308 is closest to 307, so the antilog to 3 figures would be 2.03Using 3 figure logs to base 10:3533 ÷ 9043 = (3.533 × 10³) ÷ (9.043 × 10³)= 10^(lg(3.533 × 10³) - lg(9.043 × 10³))≈ 10^(lg(3.53 × 10³) - lg(9.04 × 10³))≈ 10^((3 + 0.548) - (3 + 0.956))= 10^(0 - 0.408)= 10^((0 - 1) + (1 - 0.408))= 10^(-1 + 0.592)≈ 3.91 × 10⁻¹= 0.391(Using a calculator I get 3533 ÷ 9043 = 0.39068893..... which to 3 sig fig is 0.391 as found using the log table.)-------------------------------------------------A slide rule is an analogue log table.
How do you find logs of a number?
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.
What sentence can you make using the words periodic table and nucleus?
The periodic table organizes elements based on their number of protons in the nucleus.
What is the answer of antilog of 7.98?
Roughly 95,499,258.6
How do you find anti log of a number?
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.
How do you find antilog of 0.8024?
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.
Is negative 14 greater than negative 24?
Yes it is greater. When counting in negative number or using them in math, the smaller the negative number, the bigger it is
How do you find cube of a number using log?
If log(x) = y then log(x3) = 3*log(x) = 3*y so that x3 = antilog(3*y) So, to find the cibe of x 1) find log x 2) multiply it by 3 3) take the antilog of the result.
Write a program By using if else statement to read a number and check whether it is positive or negative?
write a c++program by using if statement to read a number and check whether it is positive or negative
