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What is a log table?

A logarithm table is a table where logarithms (most of the time to base 10) have been listed in very small intervals, often or from 1.00000 to 9.99999 with an accuracy of They were used in the pre-computer age to do complex multiplications and divisions, interest and mortgage rates.

What is mean difference in logarithm table?

The first two digits of the mantissa work as the row number and the third digit is equal to the column number. Note this value. The antifog table also includes columns which provide the mean difference. For the same row of the mantissa, the column number in the mean difference is equal to the fourth digit.

What is mean difference in log table?

The first two digits of the mantissa work as the row number and the third digit is equal to the column number. Note this value. The antifog table also includes columns which provide the mean difference. For the same row of the mantissa, the column number in the mean difference is equal to the fourth digit.

What is the log table?

Common logarithm — Wikipedia. (Please refer to the bottom of this answer to review a typical page from a book of logarithms.) Historically, a logarithm table is a list of mantissas (the decimal parts) of the exponents that make base 10 numbers.

How do you calculate logarithms?

Expressed in terms of common logarithms, this relationship is given by log MN = log m + log n. For example, 100 × 1,000 can be calculated by looking up the logarithms of 100 (2) and 1,000 (3), adding the logarithms together (5), and then finding its antilogarithm (100,000) in the table.

How do you find the log and antifog of a log table?

Separate the characteristic and the mantissa. Consider the number under observation. ... Use the antifog table to find a corresponding value for your mantissa. ... Find the value from the mean difference columns. ... Add the values obtained in the previous steps. ... Insert the decimal point.

What is a log in math?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

What is Antilogarithm with example?

The number whose logarithm is a given number. For example, the logarithm of 1,000 (103) is 3, so the antilogarithm of 3 is 1,000. In algebraic notation, if log x = y, then antifog y = x.

How do you get rid of log in an equation?

STEP 1: Replace the function notation f (x) by y. STEP 2: Switch the roles of x and y. × y. y ×. STEP 3: Isolate the log expression on one side (left or right) of the equation. STEP 5: Solve the exponential equation for y to get the inverse. ... Kate is not defined.

What is the inverse of log?

The inverse of a logarithmic function is an exponential function. When you graph both the logarithmic function and its inverse, and you also graph the line y = x, you will note that the graphs of the logarithmic function and the exponential function are mirror images of one another with respect to the line y = x.

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