Maths Problem!! Pls help!!?

Question

C = 1000log2(1+0.5) = 584.96

How do I derive to the above answer? Basically I dun know how to press it on the calculator. Can someone pls be kind enough to explain?

Thank You!

Answer 1

I'm going to assume that's a log base 2, and not log ( 2*(1+0.5)).

Remember the rule of logs:
Log [base b](a) = Log [base c](a) / Log [base c](b)

So one way to do this is:
1) Take the standard log (base 10) of "2". So just hit [2] and then [LOG].
2) Store this in memory [M+]
3) Enter "1.5" and take the log of this by pressing [LOG]
4) Muliply this result by 1000 (Press [x][1][0][0][0][=].)
5) Now divided by the log of 2, which you kept in memory: [/][MR][=].

Answer 2

C = 1000log2(1+0.5) = 1000 x log2 (1.5) = 1000 x 0.584963 = 584.96.

First add the numbers 1 and 0.5 = 1.5
Press log and choose base as 2 and press 1.5 (the value to be found). Then multiply the value with 1000. Tadaaaa!

Answer 3

in certainty what you may desire to do is think of of it as a triangle, with the gap of 5 gadgets the dimensions of the longest factor. Draw a grid with x and y axes and placed a dot the place (-7, 7) might desire to be (top left quadrant). Then placed a dot the place (-4, 3) and a 0.33 dot the place (-4, 11) is. attempting to discover the gap between the beginning factor and the two capacity factors may be discovered making use of the formulation (factor a million)squared + (factor 2)squared = (longest factor)squared. all of us comprehend the longest factor is 5 so 5 squared is 25. now we'd desire to verify factor a million and factor 2. that's not correct whether factor a million is the gap between your x coordinates (or your y coordinates). enable's try the factor (-4,3). enable x1 be the beginning factor's x coordinate, x1=-7 and enable x2 be -4 so x2=-4. The length of factor a million for this reason is x2 minus x1 or (-4)-(-7)=-4+7=-3. of direction the dimensions of any factor must be constructive so its length is 3. Now try the dimensions of factor 2: y1=7 and y2=3 so y2-y1=3-7=-4 or 4. enable's try that for our formulation (from the Pythagorean theorem): (factor a million which equals 3)squared + (side2 which equals 4)squared = (5)squared or 3*3 + 4*4 = 5*5 or does 9+sixteen=25? specific! So your appropriate answer for c might desire to be 3. Make experience?

Answer 4

this means that 1.5 to the power of 1000 = 2 to the power of 584.96. (i.e m log n = log n to the power of m and if log m to the base e is = n , then m = e to the power of n). Now you can check this in an excel sheet, use ^ for computing powers. eg., 1.5 to the power of thousand is calculated by typing "= 1.5^1000" and press enter in an excel sheet

Answer 5

C = 1000log base2 of (1+0.5)
=1000 log1,5/log2

log1,5=0,1760

log2=0,3010

log1,5/log2=0,1760/0,3010=0,5847

1000 log1,5/log2=1000*0,5847=584,7


or in base e
ln1,5=0,4055
ln2=0,6931
1000 ln1,5/ln2
=1000* 0,4055/0,6931
=1000*0,5850=585

Answer 6

I see your difficulty. You want a log to base 2.
You need to use the relationship:
log(2)1.5 = log(10)1.5 / log(10)2.
log(2)1.5 = 0.58496.
Then multiply by 1000.

Answer 7

First find log2 1.5, then multiply by 1000 to get your ans.

Answer 8

your calculator can only do natural base logs of 10.

Answer 9

?????????????????????????