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in this video weamp;#39;re going to focus on solving logarithmic equations with different bases now the most important thing that you need to know for this video is the change of Base formula letamp;#39;s say if you have log base a of B this is equal to log B / log a but with a different base you can change it to any other base weamp;#39;re going to call it c c could be any number be 2 5 8 as long as itamp;#39;s the same the equation holds true so thatamp;#39;s the change of Base formula so letamp;#39;s say for example if I wish to evaluate log base 9 of 27 I can write it as log 27 / log 9 now what base do I want to use do I want to use 2 4 8 3 7 out of all the numbers to pick what number should I use now what number goes into 9 and 27 the best number is three 9 and 27 are both divisible by 3 now what is log base 3 of 9 what is that equal to how many threes do you have to multiply to get to 9 3 * 3 is 9 you have to multiply 2 3 so log base 3 of 9 is 2 because 3^ 2 is 9 now how ma