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foreign [Music] welcome to Malaysia online tuition YouTube channel in this video we are going to be looking at a level pure mathematics 3 question paper 33 for winter 2022. if you like and enjoy watching this video then please give us a thumbs up if you want to receive updates on our newest video then please hit the Subscribe Button as well as the notification Bell so that you wont miss any of our future videos alright so lets really look at question number one solve the equation learn of 2x minus 1 equals 2 Lon of X plus one minus Lon X give your answer correct to three decimal places so before we get the answer corrected three decimal places we are going to get the exact value on Surface okay even though it is not necessary so now we can see that Lon of 2x minus 1 on the left okay equals okay so we can see that in front here we have two so we have to make sure that this line has a coefficient of one first before we can use or apply the loss of logarithm so taking the two inside th