An antilogarithm is the number of which the given number is the logarithm (to a given base). If x is the logarithm of y, then y is the antilogarithm of x.
~50.12
The Logarithm of a number is the converse of its logarithmic value..
Shift+log
0.69897 Natural Log of 5 = 1.6094379
Besides using a calculator, there are tables of logarithms. You can find the antilog that way. See the related link.
7
Log of 1, Log Equaling 1; Log as Inverse; What's βlnβ? ... The logarithm is the exponent, and the antilogarithm raises the base to that exponent. ... read that as βthe logarithm of x in base b is the exponent you put on b to get x as a result.β ... In fact, when you divide two logs to the same base, you're working the ...
2 x 10-10 M
The cube root of 100 can be written as 1001/3 or 3√100. There are many ways to determine the answer. One way is with the use of logarithms. 1) Convert 100 into logarithms. Using logs to the base 10 then log 100 = 2 2) To find the cube root divide log 100 by 3. Then 2/3 = 0.6666(recurring) 3) Using an antilogarithm system convert 0.6666 back into a decimal number = 4.6416 3√100 = 4.6416 (4dp)
The exponent key on a calculator is typically denoted by a symbol like "^" or "y^x". It is used to raise a number to a certain power. For example, if you wanted to calculate 2 raised to the power of 3, you would press the exponent key and enter the numbers accordingly.
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AnswerLet x and y be any real numbers:log x = yx = log inv (y) = 10^yExample:pH =13.22 = -log [H+]log [H+] = -13.22[H+] = inv log (-13.22) = 10^(-13.22)[H+] = 6.0 x 10-14 MFINDING ANTILOGARITHMS using a calculator (also called Inverse Logarithm)Sometimes we know the logarithm (or ln) of a number and must work backwards to find the number itself. This is called finding the antilogarithm or inverse logarithm of the number. To do this using most simple scientific calculators,enter the number,press the inverse (inv) or shift button, thenpress the log (or ln) button. It might also be labeled the 10x (or ex) button.Example 5: log x = 4.203; so, x = inverse log of 4.203 = 15958.79147..... (too many significant figures)There are three significant figures in the mantissa of the log, so the number has 3 significant figures. The answer to the correct number of significant figures is 1.60 x 104.Example 6: log x = -15.3;so, x = inv log (-15.3) = 5.011872336... x 10-16 = 5 x 10-16 (1 significant figure)Natural logarithms work in the same way:Example 7: ln x = 2.56; so, x = inv ln (2.56) = 12.93581732... = 13 (2 sig. fig.)Application to pH problems:pH = -log (hydrogen ion concentration) = -log [H+] Example 8: What is the concentration of the hydrogen ion concentration in an aqueous solution with pH = 13.22? pH = -log [H+] = 13.22log [H+] = -13.22[H+] = inv log (-13.22)[H+] = 6.0 x 10-14 M (2 sig. fig.)