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### Video Transcript

{'transcript': "Okay, so in this question, they tell us the half of season 1 37 is 30.2 years. So T half life is equal to 30.2 years. Now. They tell us that they want us to calculate how long it will take for the radio activity of this radio nuclear to decay to 5% off the level released in 2011. Right. So the question that we need is path to the end is equal to the amount left and the amount left has to be in decimal form. So we have the community percent into decimals and n is the number of half life that has passed. So let's start. So we have half and it's equal to what is the amount left? Well, they want us to calculate how long it would take for indicated 5% of the initial level. So that means that the amounts left is 5% which is 50.5 right? We gotta converted to festivals and 5% divided by 100 which is the conversion of percent of decimals is 1000.5 now, in order to Eisley end as essence and is a exponents we can take the lager both sides by one of the properties. A lot as I retake the log of something than the exponents is brought to the front. So pretty much we just multiply into now. All right, so if we walk one side, we're gonna log both sides. So let's divide both sides by allows a one half now across out log. And now we have em. It is equal to 4.32 So this is the number of half life that has passed, right? And they tell us the half life is 30.2 years. So all we gotta do is take 4.32 and multiply it by 30.2 and we get 100 dirty 0.52 years."}

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