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in this video Ill be helping you with the Alex problem type called change of base for logarithms problem type one we are using the change of Base formula to compute the log base 5 of 1 3 and Ill start by stating that the change of Base formula says that if we have some log base a of B we can change the base to another log base such as a common log which is base 10 of what we were taking the log of B divided by the log with that new base again base 10 here of the old base which was a so we can change the base by writing the log twice as a quotient keeping what were taking the log of in the top and moving the base to the bottom so in this example we could change the log base 5 to a log base 10 which we would have on a calculator of the one-third divided by the log base 10 of the prior base which is 5. so were now no longer dealing with log base 5 but log base 10 and this is where we can use a tool like Desmos or another calculator that can calculate common logs base 10 and I use pare
