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in this video weamp;#39;re going to focus on logarithms weamp;#39;re 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 letamp;#39;s begin letamp;#39;s 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 2amp;#39;s 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 2amp;#39;s do I need to multiply to get to 8 I need to multiply 3 2amp;#39;s 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 hereamp;#39;s another one whatamp;#39;s log base 4 of 16 log base 3 of 27 log base 2 of 32 so 4 raised to the what power is