The logarithm of 20 to the power of 2 is written as log(20^2). Using the power rule of logarithms, this can be simplified to 2log(20). Further simplifying, the logarithm of 20 is approximately 1.3010 (to 4 decimal places), so 2log(20) is equal to 2*1.3010 = 2.6020.
20
380
20 to the second power is more commonly known as 202 or 20 squared. Squaring is calculated by taking two of the number and multiplying them together. In this case, 20x20=400 and so 20 to the 2nd power is 400.
It equals 200 because 20x20 equals 200
Calculate the powers, and do the addition. For example, the second power of 4 is the same as 4 x 4 (you are supposed to multiply 4 by itself).
log(220) = 20log(2) = 20*0.30103 = 6.0206
20
Log (x^3) = 3 log(x) Log of x to the third power is three times log of x.
380
-8
No. log 20 is a positive number , so it you subtract it from log 5 you get less than log 5. However, log10 5 = 1 - log102 = 2- log1020 . or log 5 - log 20 = log 5 - log 4*5 = log 5 - (log 5 + log 4) = log 5 - log 5 - log 4 = - log 4 But we do not need to do all of these computations, because log 5 is different from log 5 - log 20 by the law of the equality that says two equals remain equal if and only if we subtract (in our case) the same thing from them.
The absolute power gain is the output power divided by the input power, in this case 20 / 0.1 or 200. In decibels this is 10 log 200 which is 23 dBs.
-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.
20 to the second power is more commonly known as 202 or 20 squared. Squaring is calculated by taking two of the number and multiplying them together. In this case, 20x20=400 and so 20 to the 2nd power is 400.
It equals 200 because 20x20 equals 200
(20-1-6-2)2 = 112 = 121
Calculate the powers, and do the addition. For example, the second power of 4 is the same as 4 x 4 (you are supposed to multiply 4 by itself).