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in this video were going to focus on logarithms were going to talk about how to evaluate logs how to use the change of base formula how to expand condense logs solve equations and also graph logarithmic functions so lets begin lets begin with evaluating logs what is log base 2 of 4 when you see a question like this what you really need to ask yourself 2 to the what power is 4 how many 2s do I have to multiply to get to 4 2 times 2 is 4 we need to multiply to 2 to get to 4 so the answer is 2 2 squared is equal to 4 now what about this one what is log base 2 of 8 how many 2s do I need to multiply to get to 8 I need to multiply 3 2s to get to 8 so 2 to the third power is equal to 8 therefore log base 2 of 8 is 3 try this one log base 3 of 9 3 to the what power is 9 3 squared is 9 so log base 3 of 9 is 2 heres another one whats log base 4 of 16 log base 3 of 27 log base 2 of 32 so 4 raised to the what power is 16 4 squared is 16 4 times 4 16 how many 3s do we have to multiply to
