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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 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 |
How much is one third of a liter?
333 1/3 ml (three hundred and thirty three and a third millilitres)
Which of the expressions are equivalent to the one below Check all that apply. (6 1) - 8?
5.(8+3)
Which expressions are equivalent to the one below 64x?
8^2x (8Ă8)^x 8^xĂ8^x
Which of the following expressions is not equivalent to?
either this one (greater than) < or this one (less than) >
Which expression below has a value of 5 over 6?
How can we know? You do not list the expressions "below". At a guess, if one of them is 0.8333(recurring) then it is that one.
Which of the following expressions are equal to the one below?
Answer this question…6 (9 + 3)
What expressions are equivalent to 827?
827 is a prime number that has only itself and one as factors
How do the number properties help us to prove that expressions are equivalent?
You can usually make valid transformations in one of the expressions until you get the other expression. A "valid transformation" in this context means one that doesn't change the value of the expression.
How do you enter into Facebook?
To log on to facebook, you go to facebook dot com and type in your email address and password. Or, if you don't have a facebook account, you can set up one below the log in.
How are algebraic expressions and equations alike?
Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.
What expressions are equivalent to 9x4-4x2?
You can find infinitely many expressions that are equivalent to any given expression. For example, you can add and divide an arbitrary number.In this case, one interesting option is to factor the given expression. You can use the fact that there is a common factor; also, that you have the difference of two squares.
What is an equivalent expression of 6x plus 3?
Oh, what a happy little question! An equivalent expression for 6x plus 3 would be 3(2x + 1). You see, we're just factoring out a common factor of 3 from both terms to simplify it a bit. Just remember, there are many ways to express the same idea in math, just like there are many ways to paint a beautiful sky.
What does simplify variable expressions mean?
It means to replace an expression by another one that is equivalent, but simpler. For example: 3x + 5x can be written as: 8x because of the distributive property.
