- 7/2/2025
Category
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CreativityTranscript
00:00discuss the calculation of log and anti-log using the basic calculator
00:05so log of 2 is equivalent to 0.301 okay anti-log of
00:190.301 is equivalent to 2 remember simple either non-scientific calculator
00:29basic calculator will go to the answer then
00:31log of 2 is equivalent to the answer
00:36anti-log calculate it will be 2
00:39so we already defined the value and we are applying that in the approximate calculation steps
00:44log of x log calculate in the number calculate the number you have to press the root 15 times
00:5215 times press the root minus 1
00:56no no no whatever the value you get from there and the value on the divide by this special number
01:010.0000070271
01:06you will be getting the log value okay
01:10let me try for this illustration whether i am able to get this or not okay
01:15so log 2 in the answer
01:22okay 2 press panni i am going to press the root 12 times this is 12 times okay if i do this operation 12 times sorry 15 times sorry it is not 12 times 15 times i am doing this operation the value will be
01:422 root one time 2 3 4 5 6 7 8 9 10 11 12 13 14 15 the answer is
01:531.000002115339 is the final answer
02:041.000002115339 will be the final answer
02:21and the value of the value you have to divide by the special number
02:25okay special number is 0.0000040270 and 271 is the special number so with that special number i am going to divide so minus 1
02:391.000001 divided by 0.0000070271 the value will be 0.301 okay we got this value log calculation
03:00anti log calculation
03:02what is the anti log of this one
03:03anti log calculation
03:06anti log
03:07anti log
03:08for 0.301
03:10we are aware about that
03:12the anti log of 0.301 is 2
03:15now we are going to check whether we are getting that or not
03:18anti log calculation
03:20again
03:21these 3 steps
03:23and the number divided by a special number
03:25number you have to memorize this
03:27for this two two seven
03:29six nine five already wait pannung
03:31and the value order plus one
03:32adhukabar int equal operations in you
03:34nine time press pannung na unglok log kattu churum
03:37let's see the first case
03:39first step
03:40x by adhavud log zero point
03:43three zero one end the number calculate pannung
03:45adhu divided by the special number
03:46two two seven
03:48six nine five
03:50second step i am going to add
03:53plus one with that and third
03:55step i am going to do operation of
03:57int equal nineteen
03:59times even nineteen times
04:00now press pannung
04:01anti log of
04:05zero point three zero one
04:06let's now try here
04:08point three zero
04:11one divided by
04:13two two seven
04:15six nine five
04:16adhuda you have to add the
04:19one okay
04:20before that the value will be
04:23zero point
04:24zero zero zero zero zero
04:27again zero
04:29one three two
04:31one nine four
04:32so we have so many
04:34digits here
04:35five zeros after dot
04:37and then one three two
04:38one nine four
04:39by adding one with that
04:41the value will be
04:41one point zero zero
04:43zero zero zero
04:44zero one three two
04:46one nine four
04:47one five five five six seven eight nine ten eleven twelve thirteen fourteen fourteen fifteen sixteen seventeen eighteen nineteen nineteen the answer will be one point nine nine nine nine goes on and it is nothing but two
04:54we got this value we got this value we got this value
05:10we got this value
05:19either applications in the interest calculations in the interest calculations we will see an illustration
05:26uh...
05:28uh... for uh...
05:29uh... understanding this concept either applications of the parka forum we will now discuss that one here
05:33okay so log and anti log over next concept using this application sparka forum
05:40principle amount invested in the interest calculations so
05:54So, interest calculation illa 0, 1, 2, n number of periods irukhu.
06:01Inge principle, inge sum value for rate of interest in koordtutukro.
06:05Idhila, P amount invested at rupees 1000, sum is equal to 1400 or sum illa future value in which check laam inge.
06:14So, future value.
06:16Okay, 1464.1 and rate of interest being 0.1.
06:22Rate of interest being 0.1.
06:26Now, we have to calculate what is n.
06:28What is n to be calculated.
06:31In the n calculate mandatukhu, we have the formula F is equal to P into 1 plus i to the power n formula.
06:43Idhila, known numbers fit panna paren.
06:46F vendhu 1464.1, P vendhu 1000 into 1.1, i vendhu 0.1.
06:55So, 1 plus 0.1, 1.1 to the power n, I don't know.
06:59Otherwise, 1.1 to the power n is equal to 1464.1 divided by 1000, which is nothing but 1.4641.
07:13Okay, 1464.1.
07:19Then it becomes 1.4641.
07:221.1 to the power n.
07:25N inge ipha, idh enna pannu lana log eitukla, power becomes multiplication.
07:31Right, so apha, 1.1 to the power n na n inge log eitukla.
07:33N into log of 1.1 is equal to log of 1.4641 is the answer.
07:44And the n is equal to log 1.4641 divided by log 1.1 will be the answer.
07:56Ipand the log 1.4641 enna angkarudhu nii kandubitikinou.
07:59Adhemari log 1.1 nukke enna angkarudhu nii kandubitikinou.
08:02Alradi we have the approximate formula to get the log here.
08:06Ipand 1.4641 nukku namha calculate pandudhu kide format na use pandu rai.
08:111.4641 n inge root 12 times press pandu no step number 1.
08:18Step number 2, minus 1.
08:21Okay, this will be the 15.
08:23Minus 1, step number 3, you have to divide this by a special number 0.000070271 is a special number.
08:35You will be getting the log for the numerator.
08:38Repeat the same for the log for the denominator.
08:421.1 root of root 15 times and second step minus 1, third step.
08:48You have to divide this value by the special number 000070271.
08:56Now first I will finish up the first calculation.
08:59As per the first calculation,
09:011.4641,
09:0415 times root,
09:06So 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
09:13So the answer will be
09:141.0000116346 is the answer.
09:22After detecting the minus,
09:23the value will be 0.0000116346 and after that you have to divide that value by the special numbers divided by 0.000070271.
09:40The value will be 0.65, sorry 0.165, 5, 6, 7, 5, 8, 8, 3, 3 is the final answer.
09:55I am going to do the same for the second one also.
09:57This is the numerator value.
09:58So 0.1655, 6, 7 or 6, 8.
10:05I will stop with 6 digits here.
10:07That is more than enough.
10:08For the denominator 1.1,
10:12I have to take the root of that 1.1 15 times.
10:15So 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
10:21So 16 times, sorry 15 times the value will be
10:241.000000290863 is the answer for the first one.
10:37And minus 1 will be 0.000000290863 and with that you have to divide by special number.
10:49So divided by 000070271.
11:02If I divide that by special number, the value will be 0.04139161247.
11:13I may take around 6 digits.
11:14Even 4 digits is more than enough.
11:16Now the final value will be 0.165568 divided by 0.041392.
11:30The answer is 4 years.
11:45In 4 years, your P will be 1464.1 at the rate of 10%.
11:52So we have calculated the N.
11:54Calculation of N is possible with the log without using the scientific calculator.
11:59I am going to rework out the same illustration assuming the different numbers where I am going to calculate the I.
12:04I calculate Pantramadhi in the summa.
12:06Now I will rework out Pantikamkira.
12:07Let's see here.
12:09So next one.
12:11So for the calculation of I.
12:18I assume that P being 1000.
12:24F being 1464.1.
12:27And N being 4 years.
12:30And what is I?
12:32I to be calculated.
12:34Again I am going to depend on the same formula.
12:37F is equivalent to P into 1 plus I to the power N.
12:43F into 1464.1 is equivalent to 1000 into 1.1 plus I.
12:53I don't know the I.
12:54To the power N 4.
12:55Otherwise, 1 plus I to the power N is equivalent to 1464.1 divided by 1000.
13:06Which is nothing but 1.4641.
13:10I am going to take the log in the both the side.
13:13N log 1.1 plus I is equivalent to log 1.4641.
13:23Now, I am going to take the log.
13:28So log.
13:31N number 3.4 into.
13:33I write here.
13:34Log 1 plus I is equivalent to log of 1.4641 divided by 4.
13:43I need the value for this log value.
13:48Log value.
13:48Log 1 plus I calculate.
13:49Log 1 plus I calculate.
13:51Log 1 plus I calculate.
13:521.4641.
13:5515 times root.
13:56So 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
14:03So we got that 1.00000.
14:08So from there, I have to detect minus 1.
14:10And it should be divided by the special number.
14:13Point 000070271.
14:19The value will be in the value.
14:21So log 1 plus I is equivalent to 0.165567.
14:346, 7, 5, 8, 8, 3, 3, divided by 4.
14:49We will be getting divided by 4.
14:52After dividing this by 4, what is the value you are getting?
14:55This final, this value will be log 1 plus I is equivalent to 0.04139189708.
15:13We got this value.
15:16Log 1 plus I is equal to 0.04139189708.
15:17Log 1 plus I is equal to 0.04139189708.
15:19So what you have to do?
15:21You have to reverse that.
15:22Log 1 reverse is equal to anti-log.
15:25So I am going to take the anti-log.
15:26This anti-log.
15:29Anti-log in the log disappear.
15:321 plus I is equal to in the value of anti-log.
15:36And the value of anti-log.
15:39Of course, we have these steps.
15:410.04139189.
15:47Special number divide by 22.
15:51The value of anti-log.
15:52So 0.04139189708.
15:53I am going to divide this by the special number 227695.
16:12The value of anti-log.
16:13227695.
16:18The value will be step 1.
16:20Now, step number 2.
16:22This value will be 0.004.
16:25I have to add that with 1.
16:28after adding one i am getting one point something okay zero zero zero zero now i have to repeat
16:39the multiplication equal symbol 19 times with that so third on the multiplication equal symbol
16:48for 19 times 19 times okay to get the approximate value into equal one time two three four five six
17:01seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen
17:11so 19 times press panna kha it is one point one varadhu one plus i is equal to one point one
17:21na enakka i vena na one point one in the one and the sailor povam baudhu minus one is equal
17:26to zero point one else ten percentage rate of interest being ten percentage so we have now
17:32found out the n as well as i using the log and anti log especially in a basic calculator okay
17:40you
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