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Let x and y be any real numbers:
log x = y
x = log inv (y) = 10^y
Example:
pH =13.22 = -log [H+]
log [H+] = -13.22
[H+] = inv log (-13.22) = 10^(-13.22)
[H+] = 6.0 x 10-14 M
FINDING 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, then
- press 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:
- Example 8: What is the concentration of the hydrogen ion concentration in an aqueous solution with pH = 13.22? pH = -log [H+] = 13.22
log [H+] = -13.22
[H+] = inv log (-13.22)
[H+] = 6.0 x 10-14 M (2 sig. fig.)
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What is the solution set for an identity?
It depends on what identity you are talking about whether its multiplicative inverse to additive inverse i mean you have to be more specific
The inverse sine of 833?
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
What is the value of sin inverse of 1?
1.570796327
What is the inverse sine of 0.75?
arcsin(.75)≈0.848062079
How do you calculate sin inverse?
Sin or Sine is the ratio of the Opposite side Over The Hypoteneuse of any right angled triangle inverse sin or inverse sine ( they mean the same thing ) uses the same ratio to find an unknown angle and can be written as sin-1 so if you know two sides ( opposite and Hypoteneuse ) then you can work out the sin...then you can either use a calculator to determine the inverse ( or angle ) or you could look up the sin in a booklet of sin values and determine the angle Example : in the triangle ABC the line ab=4 ac = 5 and the angle abc =90 we could find the sin of the angle acb sinacb= opp/hyp = 4/5 = 0.8 to find sin-1 of 0.8 calcultor press 0.8 press inv button or on newer calculators the 2nd functon button then press the button marked sin the display should then display 53.1301....or 53 to 2 sig figures
How do you find the inverse log of a number using windows calculator?
The calculator won't do it.On the calculator, the button marked 10x gives youthe inverse log of the number in the window.
How do you find the inverse log using a TI 84 plus?
The 2nd function of the log button is the inverse log. Press 2nd log, which displays 10^( on the screen. Put a number after the opening parenthesis.
Find the inverse log of negative 3.1?
The inverse of the logarithm of a number is ten to the number, meaning that the number is the exponent. In this case, 10^-3.1 equals approximately .0007943.
Inverse log of - 0.123?
inverse log of -2.6
How do you use inverse log on graphing calculator?
The inverse of a logarithmic function is an exponential function. So to find the "inverse" of the log function, you use the universal power key, unless you're finding the inverse of a natural log, then you use the e^x key.
Are inverse and power of -1 the same?
Sometimes. The inverse of y sin x is y sin-1x, the inverse of a number is one divided by the number, also called the reciprocal of the number, y x, then y-1 x-1 1/x. However, the inverse logarithm of a given number is the number whose logarithm is the given number. Log of 1000 is 3 and 1000 is inverse log 3.
How do you find the inverse natural log of a number?
If y = ln x, then ey = x, so antiloge y is simply ey.
How do you find the inverse of logbX?
b^x In general the log and the exponential are inverses.
What is the anti-log of 12.34?
The anti-log of 12.34 is the inverse operation of taking the logarithm of a number. In this case, the anti-log of 12.34 is equal to 10^12.34, which is approximately 2511886431. A logarithm is the power to which a base must be raised to produce a given number, so the anti-log reverses this operation to find the original number.
What is the inverse log of 2?
inverse log of 2= 1/(log{10}2)= 1/(log2)=1/0.3010299=3.3219. hence answer is 3.3219
What is shift log?
It depends on what calculator you are using. Often, shift log is inverse log, or natural log, but it could have other meanings. Please restate the question and specify the model number of the calculator.
Inverse logs on TI-83 plus?
To get the inverse log function, press 2ND and then choose 10x. (Above LOG.) To get the inverse of a natural log function, press 2ND and then choose ex. (Above LN.)
