Evaluate the expression "log base 8 of 16"
Don't know of any
The Attempt at a Solution
I dont know where to begin. I have read the textbook chapter on logarithms three times over, and I am now more thoroughly confused than ever. My textbooks seems to be skipping steps and citing the "Def. of Logarithm" as the reasoning.
For the problem above, my textbook says to set the expression equal to x, and then magically gets 8^x=16. After this, it gets an answer of 4/3, without mentioning how. I assume it wants me to look at the problem and be able to see that 8^(4/3)=16, but I don't think I can do that with all problems. I am confused as to why you set the expression equal to x, and then how the expression is rearanged to get 8^x.
Can someone please walk me through this problem without skipping any steps?