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$$\log_3 3=1$$
$$\log_9 3+ \log_9 3 =1$$
$$\log_{27} 3 + \dots = 1$$
How many $\log_{81} 3$ do you need to add together to make one?
Can we choose integers $x$ and $y$ so that:
$$\log_6 x +\log_6 y =1?$$
How many different ways are there to do this?
How about using $\log_{12}$?
How about using $\log_{24}$?