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How do you solve the equation -3 equals 20log pharanthesis start X divide by 775 pharanthesis end?
-3 = 20*log(x/775)This is made difficult by the function 'log'but lets start with what we easily can do.Lets divide by 20 at both sides.-3/20 = 20*log(x/775)/20 of which can be simplified into:-3/20 = log(x/775)Now for the fun part. We need to take log out, but how?What is the inverse function of log? I'll just explain that one with a couple of examples.10 to the power of log (9) = 9.10 to the power of log (5) = 5.It isn't that hard to understand really but I would not have thought of it myself if my calculator did not tell me.Back to the equation. We have :-3/20 = log(x/775)We would like to take the function 'log' away on the right side and put it on the left side. By doing just that, we use the inverse function on both sides.10^(-3/20)=10^(log(x/775)) of which turns into:10^(-3/20)=x/775Now to get rid of the number on the right side, we simply multiply on both sides.10^(-3/20)*775=x/775*775 of which turns into:10^(-3/20)*775=xor it can be written like:X=10^(-3/20)*775Eqation solved.++++What was the origin of the question? It looks like a decibel calculation, though not in acoustics with such a high divisor.
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 long it would take to count to a million at one number per second?
Counting to a million at one number per second would take exactly one million seconds. This is because each number takes one second to say, so each number from one to a million would take one million seconds in total. One million seconds is equivalent to approximately 11.57 days.
How do you solve this logarithmic equation 2logX equals log2 plus log3X-4?
assuming the bases are the same, you can factor the log out, so you get:x^2 = 2 + 3x-4 (note that 2logx can be rewritten as logx^2 )x^2 - 3x +2 = 0You can factor this out: (x-1)(x-2) = 0so x must be one or x is two --> X=1 V X=2
What is matrix in mathematics?
A matrix is a field of numbers with rows and columns (see example below). They can reperesent many different things and have numerous applications, especially in computer science. They can also be used in physics, as columns are often vectors that are analyzed together for one reason or another. Linear Algebra involves the study of matrices. Example: | 2 3 8 | | 5 6 1 | | 4 2 7 |
