Summing to One
\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}?
Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.
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