How to Find Log and Antilog
The manner logarithm is described it actually looks little dicey as most of students find the logarithm little different from other form of solving. This of course involves use of tables and making each of these into a pattern before the solving could begin.
The first thing one has to learn is to know how to find the base to and the value and finally the answer. The basic sign rules come under base to or basically the number that is getting used while the value refers to the value used from logarithm table for the base.
For instance in Log_m (n) = A ‘A’ refers to answer, ‘m refers to the base and (n) refers to value. Like what we use for logarithm the antilogarithm also has the base and values but unlike logarithm the antilogarithm gives opposite value.
The logarithm usually is used for exponential values or values which covers numbers like pie. These of course varies as we might end up with e^x where x could be any rational number.
Now another important thing to be noted is that the calculation of logarithm involves scientific notation and when the answer is found it comes out as non scientific notation. Scientific notation is basically putting decimal after one digit only.
Similarly we could find the antilog as well by using antilog table. And as expected we use non scientific notation for antilog and get the answer in scientific notations. Sometimes we come across negative numbers and in those cases we need to use the whole number next to the given number and then subtract it. So this also gives a basic idea that logarithms can never be negative numbers while antilogarithms can have negative numbers.
The use of logarithms ad antilogarithms comes very handy when we calculate for pH of some chemical substance or go for some basic calculations involving the exponential values. Usually the pH of chemical substance use logarithms and antilogarithms as well as big calculations involving exponents like in nuclear physics or nuclear chemistry. These are well known fields where the log table comes handy and once these topics are in grip a lot of big calculations become easier and one could proceed without the use of a calculator.
For any further help one could always log into the website of any online tutoring and get instant help from subject experts who will help understand these basics of logarithm and antilogarithm.
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From Yahoo Answers
Question:How come there's no ANTILOG on a scientific calculator? For example, if I use a printed out LOGARITHM TABLE then I can look up the logs and add/subtract them, then find out the actual number by looking up the reverse of the logarithm. But I only see the LOG button on calculators and never the anti log or reverse log (unlike Sin and Sin-1, etc.). Why is this? Hits palm on head (palm, not Palm :-)
You're absolutely right! Sheesh. I totally just overlooked that. Thanks. I use RPN as well (can't stand so-called algebraic). All my real and iPhone/iPad/Mac calculators are RPN :-)
Answers:Depends on the calculator.
The Windows calculator can do base10 anti-log of x by entering: x, inverse, log.
My HP just does the same anti-log by entering: 10, x, y^x (it's an RPN calculator).
Since space is limited on a calculator, the designers must optimize for the functions they expect to be most useful.
I guess since y^x or x^y function is really, really useful and can return the same result, some opt not to add redundant inverse log or anti-log function for the benefit of people who don't quite understand what a log is.
Question:In my book it is given that above is equal to log 4 to base 2. How come. I have proved log a log b = log ab
This stuff simple dives over me. I mean can u prove anythin like that?
Answers:It appears that they used the "chage of base" formula that says the
log a to the base b = (log a) / (log b)
so you can rewrite this problem as
(log 4) / (log 5) * (log 5) / (log 2)
when you multiply, the log 5 on top will cancel with the log 5 on bottom leaving (log 4) / (log 2).
if you take that answer and use the change of base formula again, you will get
log 4 with a base of 2 which is actually just 2.
I hope this helps and wasn't too confusing,
Question:Given f(x)=log (base 2) (-x+5) and g(x)=-x
I don't know how to turn that into an equation from which I can graph
Question:log (3) x
How do i find these 2 points outside of using a calculator
Answers:So the equation is log (3) x
More specifically y = log (3) x
So if you rewrite the equation to... 3^y = x it'll make it SOO much easier for us..
From that, we can plug in any number we want for y, and we will get a value for x, and those values are on the function.
But.. if you want to make your life easier, juse use 1,2 for y...
So if we plug in 1 for y, we get 3^1 which is just 3 so the cordinate (3,1) is on the function
Plug in 2 for y, we get 3^2, which is 9 so the cordinate (2,9) is on the function.
Exponents & Logs: Graphing Functions :www.mindbites.com This 64 minute exponents & logarithms lesson studies the graphs of the exponential function and the inverse of the exponential function, which is the logarithm: This lesson will show you how to: - graph exponential functions and summarize the characteristics of the graphs - find the inverse of the exponential function - graph logarithmic functions and summarize the characteristics of the graphs - understand the x and y intercepts, an asymptote, domain & range, growth and decay functions, and the reflection property Sample question: Given the exponential function y = 2^x, write its inverse in exponential form On the same grid, draw the graphs of y = 2^x and its inverse x = 2^y. Show the line of reflection y = x This lesson contains explanations of the concepts and 13 example questions with step by step solutions plus 3 interactive review questions with solutions. Lesson that will help you with the fundamentals of this lesson: - 400 Solving Exponential Equations (www.mindbites.com
Exponents & Logs: Working With Logarithms :www.mindbites.com This 67 minute exponents & logarithms lesson begins with the relationship between exponents and logarithms and focuses on solving for an unknown in a logarithmic equation and learning to evaluate logarithms with different bases: This lesson will show you how to: - change from exponential form to logarithmic form - change from logarithmic form to exponential form - identify and use a common log - identify and use a natural log (ln, base e) - solve for unknowns in a logarithmic equation - evaluate logarithms, for example log base 7(49 cube root 7) + log base 27(3^3 times 81 ^1/2) - find the number positi0n and the base position Thislesson contains explanations of the concepts and 32 example questions with step by step solutions plus 5 interactive review questions with solutions. Lessons that will help you with the fundamentals of this lesson include: - 115 The 5 Basic Exponent Laws (www.mindbites.com - 165 The Zero Negative & Rational Exponent (www.mindbites.com - 205 Solving Systems of Linear Equations (www.mindbites.com - 400 Solving Exponential Equations (www.mindbites.com - 405 Graphing Exponential & Logarithmic Functions (www.mindbites.com