00:00In the name of Allah, the most Gracious, the most Merciful.
00:13Peace be upon you, dear students and viewers.
00:15As you know, we have started a new standard level of logarithms.
00:20The books from which I am teaching you are from FBISC, Federal Board of Intermediate and Secondary Education.
00:31This is chapter number 3.
00:33You can learn this core concept and apply it on any of the board's books.
00:39If you have any questions or queries regarding this subject,
00:43you can ask me in the comment section or in my mail.
00:49I will make a video on it for you.
00:51I will give you the link of all the videos I have made in the i button.
00:58You can go and watch it.
01:00The exercise we will start today is 3.3.
01:06In this video, we will solve question number 1 of exercise 3.3.
01:17Now we will see part 4 of question number 1.
01:23Log cubic root into 7 by 15.
01:30Let's see which laws we will use here.
01:34We have power rules of logarithms.
01:38We call it logarithms and indices.
01:41We call it index.
01:43We call it exponent.
01:45We call it power.
01:46Let's start the solution.
01:47Here we apply power and then quotient rules.
01:50We have log cubic root 7 by 15 is equal to log 7 by 15 raised to power 1 by 3.
02:03Then we apply power rule and indices rule.
02:08The power we have is a coefficient.
02:13It will become a multiplier.
02:141 by 3 log 7 by 15.
02:17The number with log is 7 by 15.
02:20It is in the quotient form.
02:21We will apply the larger quotient.
02:25The quotient rule is 1 by 3 log 7 minus log 15.
02:31We have the answer.
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